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Finding the Fourth Proportional to 1,082.97, 1,620.51 and 938.43

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Solution

The fourth proportional to 1,082.97, 1,620.51 and 938.43 is: 1,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.97 : 1,620.51 = 938.43 : x
  2. Step 2: Convert to fraction form
    1,082.97/1,620.51 = 938.43/x
  3. Step 3: Cross multiply
    1,082.97x = 1,620.51 × 938.43
  4. Step 4: Simplify right side
    1,082.97x = 1,520,735.20
  5. Step 5: Solve for x
    x = 1,520,735.20/1,082.97
  6. Step 6: Final answer
    x = 1,404.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.