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Finding the Fourth Proportional to 2,227.47, 3,073.71 and 1,232.73

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Solution

The fourth proportional to 2,227.47, 3,073.71 and 1,232.73 is: 1,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.47 : 3,073.71 = 1,232.73 : x
  2. Step 2: Convert to fraction form
    2,227.47/3,073.71 = 1,232.73/x
  3. Step 3: Cross multiply
    2,227.47x = 3,073.71 × 1,232.73
  4. Step 4: Simplify right side
    2,227.47x = 3,789,054.53
  5. Step 5: Solve for x
    x = 3,789,054.53/2,227.47
  6. Step 6: Final answer
    x = 1,701.06

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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.