If you nail your dates (and airports) early enough in your planning, you can also snag a decently-priced British Airways flight to Dublin, via London. I just flew BA from Bordeaux to London for as cheap as one of the discount airlines like RyanAir, without the hassles AND I got a baggage allowance to boot. The key was having bought my ticket months ahead.
You are getting good advice here about your open jaw... just remember:
The price of airfare to Europe is as high as reported here (and that's for advance purchase fares!) - it's the new normal. Fare can (and do) go even higher, the closer to departure that you wait.
Be flexible about your departure airport. The prior suggestion to price out MCO and MIA, as well as FLL is bang on! Do the same for your arrival in France: depending on where you were hoping to go, also price out the other big international airports as well as CDG - like ORY, BOD, TLS, MRS, NCE and LYS.
Your itinerary will not be direct. All airlines now route through hubs and use code-shared partners.
All these points will affect your assessment of what is "reasonable", and if so, you will need to adjust your expectations accordingly.