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Finding the Fourth Proportional to 2,227.67, 3,340.39 and 746.38

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Solution

The fourth proportional to 2,227.67, 3,340.39 and 746.38 is: 1,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.67 : 3,340.39 = 746.38 : x
  2. Step 2: Convert to fraction form
    2,227.67/3,340.39 = 746.38/x
  3. Step 3: Cross multiply
    2,227.67x = 3,340.39 × 746.38
  4. Step 4: Simplify right side
    2,227.67x = 2,493,196.56
  5. Step 5: Solve for x
    x = 2,493,196.56/2,227.67
  6. Step 6: Final answer
    x = 1,119.19

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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.