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Finding the Fourth Proportional to 2,229.60, 3,077 and 1,234.92

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Solution

The fourth proportional to 2,229.60, 3,077 and 1,234.92 is: 1,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.60 : 3,077 = 1,234.92 : x
  2. Step 2: Convert to fraction form
    2,229.60/3,077 = 1,234.92/x
  3. Step 3: Cross multiply
    2,229.60x = 3,077 × 1,234.92
  4. Step 4: Simplify right side
    2,229.60x = 3,799,848.84
  5. Step 5: Solve for x
    x = 3,799,848.84/2,229.60
  6. Step 6: Final answer
    x = 1,704.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.