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Finding the Fourth Proportional to 2,744.84, 3,787.35 and 1,565.88

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Solution

The fourth proportional to 2,744.84, 3,787.35 and 1,565.88 is: 2,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.84 : 3,787.35 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    2,744.84/3,787.35 = 1,565.88/x
  3. Step 3: Cross multiply
    2,744.84x = 3,787.35 × 1,565.88
  4. Step 4: Simplify right side
    2,744.84x = 5,930,535.62
  5. Step 5: Solve for x
    x = 5,930,535.62/2,744.84
  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.