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Finding the Fourth Proportional to 2,692.43, 3,715.43 and 1,513.47

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Solution

The fourth proportional to 2,692.43, 3,715.43 and 1,513.47 is: 2,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.43 : 3,715.43 = 1,513.47 : x
  2. Step 2: Convert to fraction form
    2,692.43/3,715.43 = 1,513.47/x
  3. Step 3: Cross multiply
    2,692.43x = 3,715.43 × 1,513.47
  4. Step 4: Simplify right side
    2,692.43x = 5,623,191.84
  5. Step 5: Solve for x
    x = 5,623,191.84/2,692.43
  6. Step 6: Final answer
    x = 2,088.52

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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.