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Finding the Fourth Proportional to 2,229.76, 3,076.93 and 1,234.97

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Solution

The fourth proportional to 2,229.76, 3,076.93 and 1,234.97 is: 1,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.76 : 3,076.93 = 1,234.97 : x
  2. Step 2: Convert to fraction form
    2,229.76/3,076.93 = 1,234.97/x
  3. Step 3: Cross multiply
    2,229.76x = 3,076.93 × 1,234.97
  4. Step 4: Simplify right side
    2,229.76x = 3,799,917.76
  5. Step 5: Solve for x
    x = 3,799,917.76/2,229.76
  6. Step 6: Final answer
    x = 1,704.19

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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.