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Finding the Fourth Proportional to 2,767.92, 4,149 and 2,376.96

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Solution

The fourth proportional to 2,767.92, 4,149 and 2,376.96 is: 3,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 4,149 = 2,376.96 : x
  2. Step 2: Convert to fraction form
    2,767.92/4,149 = 2,376.96/x
  3. Step 3: Cross multiply
    2,767.92x = 4,149 × 2,376.96
  4. Step 4: Simplify right side
    2,767.92x = 9,862,007.04
  5. Step 5: Solve for x
    x = 9,862,007.04/2,767.92
  6. Step 6: Final answer
    x = 3,562.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.