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Finding the Fourth Proportional to 2,229.70, 3,076.69 and 1,285.52

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Solution

The fourth proportional to 2,229.70, 3,076.69 and 1,285.52 is: 1,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.70 : 3,076.69 = 1,285.52 : x
  2. Step 2: Convert to fraction form
    2,229.70/3,076.69 = 1,285.52/x
  3. Step 3: Cross multiply
    2,229.70x = 3,076.69 × 1,285.52
  4. Step 4: Simplify right side
    2,229.70x = 3,955,153.42
  5. Step 5: Solve for x
    x = 3,955,153.42/2,229.70
  6. Step 6: Final answer
    x = 1,773.85

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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.