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Finding the Fourth Proportional to 2,324.34, 3,481.87 and 1,399.39

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Solution

The fourth proportional to 2,324.34, 3,481.87 and 1,399.39 is: 2,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.34 : 3,481.87 = 1,399.39 : x
  2. Step 2: Convert to fraction form
    2,324.34/3,481.87 = 1,399.39/x
  3. Step 3: Cross multiply
    2,324.34x = 3,481.87 × 1,399.39
  4. Step 4: Simplify right side
    2,324.34x = 4,872,469.65
  5. Step 5: Solve for x
    x = 4,872,469.65/2,324.34
  6. Step 6: Final answer
    x = 2,096.29

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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.