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Finding the Fourth Proportional to 2,229.72, 3,076.88 and 1,234.82

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Solution

The fourth proportional to 2,229.72, 3,076.88 and 1,234.82 is: 1,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.72 : 3,076.88 = 1,234.82 : x
  2. Step 2: Convert to fraction form
    2,229.72/3,076.88 = 1,234.82/x
  3. Step 3: Cross multiply
    2,229.72x = 3,076.88 × 1,234.82
  4. Step 4: Simplify right side
    2,229.72x = 3,799,371.40
  5. Step 5: Solve for x
    x = 3,799,371.40/2,229.72
  6. Step 6: Final answer
    x = 1,703.97

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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.