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Finding the Fourth Proportional to 2,338.96, 3,227.62 and 1,344.57

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Solution

The fourth proportional to 2,338.96, 3,227.62 and 1,344.57 is: 1,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.96 : 3,227.62 = 1,344.57 : x
  2. Step 2: Convert to fraction form
    2,338.96/3,227.62 = 1,344.57/x
  3. Step 3: Cross multiply
    2,338.96x = 3,227.62 × 1,344.57
  4. Step 4: Simplify right side
    2,338.96x = 4,339,761.02
  5. Step 5: Solve for x
    x = 4,339,761.02/2,338.96
  6. Step 6: Final answer
    x = 1,855.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.