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Finding the Fourth Proportional to 1,380.47, 2,068.68 and 1,032.17

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Solution

The fourth proportional to 1,380.47, 2,068.68 and 1,032.17 is: 1,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.47 : 2,068.68 = 1,032.17 : x
  2. Step 2: Convert to fraction form
    1,380.47/2,068.68 = 1,032.17/x
  3. Step 3: Cross multiply
    1,380.47x = 2,068.68 × 1,032.17
  4. Step 4: Simplify right side
    1,380.47x = 2,135,229.44
  5. Step 5: Solve for x
    x = 2,135,229.44/1,380.47
  6. Step 6: Final answer
    x = 1,546.74

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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.