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Finding the Fourth Proportional to 2,524.16, 3,785.52 and 963.92

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Solution

The fourth proportional to 2,524.16, 3,785.52 and 963.92 is: 1,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.16 : 3,785.52 = 963.92 : x
  2. Step 2: Convert to fraction form
    2,524.16/3,785.52 = 963.92/x
  3. Step 3: Cross multiply
    2,524.16x = 3,785.52 × 963.92
  4. Step 4: Simplify right side
    2,524.16x = 3,648,938.44
  5. Step 5: Solve for x
    x = 3,648,938.44/2,524.16
  6. Step 6: Final answer
    x = 1,445.61

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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.