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Finding the Fourth Proportional to 2,524.86, 3,787.90 and 881.57

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Solution

The fourth proportional to 2,524.86, 3,787.90 and 881.57 is: 1,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.86 : 3,787.90 = 881.57 : x
  2. Step 2: Convert to fraction form
    2,524.86/3,787.90 = 881.57/x
  3. Step 3: Cross multiply
    2,524.86x = 3,787.90 × 881.57
  4. Step 4: Simplify right side
    2,524.86x = 3,339,306.27
  5. Step 5: Solve for x
    x = 3,339,306.27/2,524.86
  6. Step 6: Final answer
    x = 1,322.57

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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.