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Finding the Fourth Proportional to 2,238.78, 3,357.31 and 851.39

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Solution

The fourth proportional to 2,238.78, 3,357.31 and 851.39 is: 1,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.78 : 3,357.31 = 851.39 : x
  2. Step 2: Convert to fraction form
    2,238.78/3,357.31 = 851.39/x
  3. Step 3: Cross multiply
    2,238.78x = 3,357.31 × 851.39
  4. Step 4: Simplify right side
    2,238.78x = 2,858,380.16
  5. Step 5: Solve for x
    x = 2,858,380.16/2,238.78
  6. Step 6: Final answer
    x = 1,276.76

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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.