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Finding the Fourth Proportional to 1,732.29, 2,585.17 and 1,547.61

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Solution

The fourth proportional to 1,732.29, 2,585.17 and 1,547.61 is: 2,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.29 : 2,585.17 = 1,547.61 : x
  2. Step 2: Convert to fraction form
    1,732.29/2,585.17 = 1,547.61/x
  3. Step 3: Cross multiply
    1,732.29x = 2,585.17 × 1,547.61
  4. Step 4: Simplify right side
    1,732.29x = 4,000,834.94
  5. Step 5: Solve for x
    x = 4,000,834.94/1,732.29
  6. Step 6: Final answer
    x = 2,309.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.