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Finding the Fourth Proportional to 2,391.92, 3,589.28 and 1,005.14

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Solution

The fourth proportional to 2,391.92, 3,589.28 and 1,005.14 is: 1,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.92 : 3,589.28 = 1,005.14 : x
  2. Step 2: Convert to fraction form
    2,391.92/3,589.28 = 1,005.14/x
  3. Step 3: Cross multiply
    2,391.92x = 3,589.28 × 1,005.14
  4. Step 4: Simplify right side
    2,391.92x = 3,607,705.93
  5. Step 5: Solve for x
    x = 3,607,705.93/2,391.92
  6. Step 6: Final answer
    x = 1,508.29

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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.