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Finding the Fourth Proportional to 2,238.15, 3,355.66 and 851.56

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Solution

The fourth proportional to 2,238.15, 3,355.66 and 851.56 is: 1,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.15 : 3,355.66 = 851.56 : x
  2. Step 2: Convert to fraction form
    2,238.15/3,355.66 = 851.56/x
  3. Step 3: Cross multiply
    2,238.15x = 3,355.66 × 851.56
  4. Step 4: Simplify right side
    2,238.15x = 2,857,545.83
  5. Step 5: Solve for x
    x = 2,857,545.83/2,238.15
  6. Step 6: Final answer
    x = 1,276.74

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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.