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Finding the Fourth Proportional to 2,744.48, 3,787.74 and 1,565.78

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Solution

The fourth proportional to 2,744.48, 3,787.74 and 1,565.78 is: 2,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.48 : 3,787.74 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    2,744.48/3,787.74 = 1,565.78/x
  3. Step 3: Cross multiply
    2,744.48x = 3,787.74 × 1,565.78
  4. Step 4: Simplify right side
    2,744.48x = 5,930,767.54
  5. Step 5: Solve for x
    x = 5,930,767.54/2,744.48
  6. Step 6: Final answer
    x = 2,160.98

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