Answer: 1.74
Step-by-step explanation:
Let's assume Ted's initial weight is T and Jessica's initial weight is J.
Given that Ted's weight increased by 36% and Jessica's weight decreased by 22% during a certain year.
Ted's weight at the end of the year will be (T+36% of T) = (T + 0.36T) = 1.36T
Jessica's weight at the end of the year will be (J-22% of J) = (J - 0.22J) = 0.78J
The ratio of Ted's weight to Jessica's weight at the beginning of the year is T/J
The ratio of Ted's weight to Jessica's weight at the end of the year is 1.36T/0.78J
Now, we need to find the ratio of (1.36T/0.78J) to (T/J)
= (1.36/0.78) = 1.74
Therefore, the ratio of Ted's weight to Jessica's weight at the end of the year was 1.74 times the ratio at the beginning of the year.
Hence, the answer is 1.74.