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Finding the Fourth Proportional to 2,761.92, 4,142.92 and 913.24

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Solution

The fourth proportional to 2,761.92, 4,142.92 and 913.24 is: 1,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.92 : 4,142.92 = 913.24 : x
  2. Step 2: Convert to fraction form
    2,761.92/4,142.92 = 913.24/x
  3. Step 3: Cross multiply
    2,761.92x = 4,142.92 × 913.24
  4. Step 4: Simplify right side
    2,761.92x = 3,783,480.26
  5. Step 5: Solve for x
    x = 3,783,480.26/2,761.92
  6. Step 6: Final answer
    x = 1,369.87

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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.