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Finding the Fourth Proportional to 1,569.71, 2,353.19 and 595.17

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Solution

The fourth proportional to 1,569.71, 2,353.19 and 595.17 is: 892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.71 : 2,353.19 = 595.17 : x
  2. Step 2: Convert to fraction form
    1,569.71/2,353.19 = 595.17/x
  3. Step 3: Cross multiply
    1,569.71x = 2,353.19 × 595.17
  4. Step 4: Simplify right side
    1,569.71x = 1,400,545.12
  5. Step 5: Solve for x
    x = 1,400,545.12/1,569.71
  6. Step 6: Final answer
    x = 892.23

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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.