Nitrogen combines with oxygen to form nitrogen monoxide (no) and nitrogen dioxide (no2). a sample of no consists of 1.14 g of oxygen and 1 g of nitrogen. how many grams of oxygen combine with 1 g of nitrogen to form no2if the ratio of the masses of oxygen in these two compounds is exactly 1: 2?

2N2 + 3O2 ---> 2NO + 2NO2  
You should do it based on moles and not grams. 
1.14 g O = 0.071 moles O 
1 g N = 0.071 moles N  
So in NO2 you need 2 moles O for each mole of N 
1 g N = 0.071 moles, so you need 0.071 x 2 moles of O = 0.0.142 moles O 
0.142 moles O x 16 g/mol = 2.27 grams of O. So, you are actually correct because your answer is 2.28 grams. I just prefer to work it out in moles so it makes perfect chemical sense.