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Finding the Fourth Proportional to 3,155.16, 4,732.72 and 963.88

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Solution

The fourth proportional to 3,155.16, 4,732.72 and 963.88 is: 1,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.16 : 4,732.72 = 963.88 : x
  2. Step 2: Convert to fraction form
    3,155.16/4,732.72 = 963.88/x
  3. Step 3: Cross multiply
    3,155.16x = 4,732.72 × 963.88
  4. Step 4: Simplify right side
    3,155.16x = 4,561,774.15
  5. Step 5: Solve for x
    x = 4,561,774.15/3,155.16
  6. Step 6: Final answer
    x = 1,445.81

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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.