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Finding the Fourth Proportional to 2,227.75, 3,074.24 and 1,270.83

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Solution

The fourth proportional to 2,227.75, 3,074.24 and 1,270.83 is: 1,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.75 : 3,074.24 = 1,270.83 : x
  2. Step 2: Convert to fraction form
    2,227.75/3,074.24 = 1,270.83/x
  3. Step 3: Cross multiply
    2,227.75x = 3,074.24 × 1,270.83
  4. Step 4: Simplify right side
    2,227.75x = 3,906,836.42
  5. Step 5: Solve for x
    x = 3,906,836.42/2,227.75
  6. Step 6: Final answer
    x = 1,753.71

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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.