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Finding the Fourth Proportional to 2,524.96, 3,787.72 and 881.20

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Solution

The fourth proportional to 2,524.96, 3,787.72 and 881.20 is: 1,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.96 : 3,787.72 = 881.20 : x
  2. Step 2: Convert to fraction form
    2,524.96/3,787.72 = 881.20/x
  3. Step 3: Cross multiply
    2,524.96x = 3,787.72 × 881.20
  4. Step 4: Simplify right side
    2,524.96x = 3,337,738.86
  5. Step 5: Solve for x
    x = 3,337,738.86/2,524.96
  6. Step 6: Final answer
    x = 1,321.90

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