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Finding the Fourth Proportional to 2,967.24, 4,446.90 and 1,234.92

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Solution

The fourth proportional to 2,967.24, 4,446.90 and 1,234.92 is: 1,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.24 : 4,446.90 = 1,234.92 : x
  2. Step 2: Convert to fraction form
    2,967.24/4,446.90 = 1,234.92/x
  3. Step 3: Cross multiply
    2,967.24x = 4,446.90 × 1,234.92
  4. Step 4: Simplify right side
    2,967.24x = 5,491,565.75
  5. Step 5: Solve for x
    x = 5,491,565.75/2,967.24
  6. Step 6: Final answer
    x = 1,850.73

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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.