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Finding the Fourth Proportional to 2,227.71, 3,074.25 and 1,232.97

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Solution

The fourth proportional to 2,227.71, 3,074.25 and 1,232.97 is: 1,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.71 : 3,074.25 = 1,232.97 : x
  2. Step 2: Convert to fraction form
    2,227.71/3,074.25 = 1,232.97/x
  3. Step 3: Cross multiply
    2,227.71x = 3,074.25 × 1,232.97
  4. Step 4: Simplify right side
    2,227.71x = 3,790,458.02
  5. Step 5: Solve for x
    x = 3,790,458.02/2,227.71
  6. Step 6: Final answer
    x = 1,701.50

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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.