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Finding the Fourth Proportional to 2,324.67, 3,488.40 and 1,229.82

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Solution

The fourth proportional to 2,324.67, 3,488.40 and 1,229.82 is: 1,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.67 : 3,488.40 = 1,229.82 : x
  2. Step 2: Convert to fraction form
    2,324.67/3,488.40 = 1,229.82/x
  3. Step 3: Cross multiply
    2,324.67x = 3,488.40 × 1,229.82
  4. Step 4: Simplify right side
    2,324.67x = 4,290,104.09
  5. Step 5: Solve for x
    x = 4,290,104.09/2,324.67
  6. Step 6: Final answer
    x = 1,845.47

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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.