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Finding the Fourth Proportional to 2,692.49, 3,715.97 and 1,513.56

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Solution

The fourth proportional to 2,692.49, 3,715.97 and 1,513.56 is: 2,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.49 : 3,715.97 = 1,513.56 : x
  2. Step 2: Convert to fraction form
    2,692.49/3,715.97 = 1,513.56/x
  3. Step 3: Cross multiply
    2,692.49x = 3,715.97 × 1,513.56
  4. Step 4: Simplify right side
    2,692.49x = 5,624,364.11
  5. Step 5: Solve for x
    x = 5,624,364.11/2,692.49
  6. Step 6: Final answer
    x = 2,088.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.