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Finding the Fourth Proportional to 2,744.82, 3,787.36 and 1,565.87

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Solution

The fourth proportional to 2,744.82, 3,787.36 and 1,565.87 is: 2,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.82 : 3,787.36 = 1,565.87 : x
  2. Step 2: Convert to fraction form
    2,744.82/3,787.36 = 1,565.87/x
  3. Step 3: Cross multiply
    2,744.82x = 3,787.36 × 1,565.87
  4. Step 4: Simplify right side
    2,744.82x = 5,930,490.55
  5. Step 5: Solve for x
    x = 5,930,490.55/2,744.82
  6. Step 6: Final answer
    x = 2,160.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.