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Finding the Fourth Proportional to 2,744.60, 3,787.70 and 1,565.91

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Solution

The fourth proportional to 2,744.60, 3,787.70 and 1,565.91 is: 2,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.60 : 3,787.70 = 1,565.91 : x
  2. Step 2: Convert to fraction form
    2,744.60/3,787.70 = 1,565.91/x
  3. Step 3: Cross multiply
    2,744.60x = 3,787.70 × 1,565.91
  4. Step 4: Simplify right side
    2,744.60x = 5,931,189.48
  5. Step 5: Solve for x
    x = 5,931,189.48/2,744.60
  6. Step 6: Final answer
    x = 2,161.04

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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.