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Finding the Fourth Proportional to 2,692.17, 3,715.54 and 1,513.24

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Solution

The fourth proportional to 2,692.17, 3,715.54 and 1,513.24 is: 2,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.17 : 3,715.54 = 1,513.24 : x
  2. Step 2: Convert to fraction form
    2,692.17/3,715.54 = 1,513.24/x
  3. Step 3: Cross multiply
    2,692.17x = 3,715.54 × 1,513.24
  4. Step 4: Simplify right side
    2,692.17x = 5,622,490.68
  5. Step 5: Solve for x
    x = 5,622,490.68/2,692.17
  6. Step 6: Final answer
    x = 2,088.46

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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.