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Finding the Fourth Proportional to 3,152.72, 4,728.85 and 961.31

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Solution

The fourth proportional to 3,152.72, 4,728.85 and 961.31 is: 1,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.72 : 4,728.85 = 961.31 : x
  2. Step 2: Convert to fraction form
    3,152.72/4,728.85 = 961.31/x
  3. Step 3: Cross multiply
    3,152.72x = 4,728.85 × 961.31
  4. Step 4: Simplify right side
    3,152.72x = 4,545,900.21
  5. Step 5: Solve for x
    x = 4,545,900.21/3,152.72
  6. Step 6: Final answer
    x = 1,441.90

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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.