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Finding the Fourth Proportional to 3,152.40, 4,729.37 and 961.17

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Solution

The fourth proportional to 3,152.40, 4,729.37 and 961.17 is: 1,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.40 : 4,729.37 = 961.17 : x
  2. Step 2: Convert to fraction form
    3,152.40/4,729.37 = 961.17/x
  3. Step 3: Cross multiply
    3,152.40x = 4,729.37 × 961.17
  4. Step 4: Simplify right side
    3,152.40x = 4,545,723.76
  5. Step 5: Solve for x
    x = 4,545,723.76/3,152.40
  6. Step 6: Final answer
    x = 1,441.99

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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.