Yeah, for that resolution you will want an HD5770 or better. Personally, I would choose it over an HD4890 at today's prices, especially if you consider yourself a casual gamer. The HD4890 is approximately 15% more powerful while the HD5770 is DX11 compatible, MUCH more power efficient/cool, if one of your monitors is has a display port connection it can actually use 3 monitors and it costs $40+ less.
Or more actually. This is a 512mb version of the card which does matter some at your resolution but not that much. For $130 it's a fantastic deal;http://www.newegg.com/Product/Product.aspx?Item=N82E16814131328