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Finding the Fourth Proportional to 2,200.57, 3,301.14 and 901.73

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Solution

The fourth proportional to 2,200.57, 3,301.14 and 901.73 is: 1,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.57 : 3,301.14 = 901.73 : x
  2. Step 2: Convert to fraction form
    2,200.57/3,301.14 = 901.73/x
  3. Step 3: Cross multiply
    2,200.57x = 3,301.14 × 901.73
  4. Step 4: Simplify right side
    2,200.57x = 2,976,736.97
  5. Step 5: Solve for x
    x = 2,976,736.97/2,200.57
  6. Step 6: Final answer
    x = 1,352.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.