Answer:
Explanation:
A proportion is a fancy way of saying that two fractions are the same. To find out what the missing number is, we can do some magic called cross-multiplication, which means we multiply the numbers that are diagonal from each other and make them equal. For example, if we have a proportion like a/b = c/d, we can cross-multiply and get ad = bc. Then we can find the missing number by moving things around until it's by itself. Let's try this trick on this problem:
7/x+2 = 4/x+1
Cross-multiply:
7(x+1) = 4(x+2)
Spread out:
7x + 7 = 4x + 8
Take away 4x from both sides:
3x + 7 = 8
Take away 7 from both sides:
3x = 1
Cut both sides by 3:
x = 1/3
So, the answer is x = 1/3.