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Finding the Fourth Proportional to 2,238.24, 3,356.96 and 851.72

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Solution

The fourth proportional to 2,238.24, 3,356.96 and 851.72 is: 1,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.24 : 3,356.96 = 851.72 : x
  2. Step 2: Convert to fraction form
    2,238.24/3,356.96 = 851.72/x
  3. Step 3: Cross multiply
    2,238.24x = 3,356.96 × 851.72
  4. Step 4: Simplify right side
    2,238.24x = 2,859,189.97
  5. Step 5: Solve for x
    x = 2,859,189.97/2,238.24
  6. Step 6: Final answer
    x = 1,277.43

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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.