This is the 1275th most frequent Japanese word.
応じ
"応じ" means "to respond" or "to comply."
In this usage, "応じた" expresses proposing or offering that conforms to "予算" (your budget).
ご予算に応じたプランを提案します。
We offer plans in line with your budget.
Here, "応じた" conveys adapting or providing based on "要求" (the demands specified).
要求に応じたサービスを提供します。
We provide services tailored to the demands.
In this sentence, "応じて" indicates acting or responding in accordance with "状況" (the situation discussed).