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Finding the Fourth Proportional to 3,152.20, 4,728.30 and 961.27

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Solution

The fourth proportional to 3,152.20, 4,728.30 and 961.27 is: 1,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.20 : 4,728.30 = 961.27 : x
  2. Step 2: Convert to fraction form
    3,152.20/4,728.30 = 961.27/x
  3. Step 3: Cross multiply
    3,152.20x = 4,728.30 × 961.27
  4. Step 4: Simplify right side
    3,152.20x = 4,545,172.94
  5. Step 5: Solve for x
    x = 4,545,172.94/3,152.20
  6. Step 6: Final answer
    x = 1,441.91

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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.