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Finding the Fourth Proportional to 2,423.76, 3,632.04 and 961.44

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Solution

The fourth proportional to 2,423.76, 3,632.04 and 961.44 is: 1,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.76 : 3,632.04 = 961.44 : x
  2. Step 2: Convert to fraction form
    2,423.76/3,632.04 = 961.44/x
  3. Step 3: Cross multiply
    2,423.76x = 3,632.04 × 961.44
  4. Step 4: Simplify right side
    2,423.76x = 3,491,988.54
  5. Step 5: Solve for x
    x = 3,491,988.54/2,423.76
  6. Step 6: Final answer
    x = 1,440.73

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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.