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Finding the Fourth Proportional to 2,227.57, 3,074.01 and 1,232.83

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Solution

The fourth proportional to 2,227.57, 3,074.01 and 1,232.83 is: 1,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.57 : 3,074.01 = 1,232.83 : x
  2. Step 2: Convert to fraction form
    2,227.57/3,074.01 = 1,232.83/x
  3. Step 3: Cross multiply
    2,227.57x = 3,074.01 × 1,232.83
  4. Step 4: Simplify right side
    2,227.57x = 3,789,730.97
  5. Step 5: Solve for x
    x = 3,789,730.97/2,227.57
  6. Step 6: Final answer
    x = 1,701.29

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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.