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Finding the Fourth Proportional to 2,229.43, 3,076.57 and 1,234.71

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Solution

The fourth proportional to 2,229.43, 3,076.57 and 1,234.71 is: 1,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.43 : 3,076.57 = 1,234.71 : x
  2. Step 2: Convert to fraction form
    2,229.43/3,076.57 = 1,234.71/x
  3. Step 3: Cross multiply
    2,229.43x = 3,076.57 × 1,234.71
  4. Step 4: Simplify right side
    2,229.43x = 3,798,659.45
  5. Step 5: Solve for x
    x = 3,798,659.45/2,229.43
  6. Step 6: Final answer
    x = 1,703.87

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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.