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Finding the Fourth Proportional to 2,399.62, 3,311.43 and 1,351.68

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Solution

The fourth proportional to 2,399.62, 3,311.43 and 1,351.68 is: 1,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.62 : 3,311.43 = 1,351.68 : x
  2. Step 2: Convert to fraction form
    2,399.62/3,311.43 = 1,351.68/x
  3. Step 3: Cross multiply
    2,399.62x = 3,311.43 × 1,351.68
  4. Step 4: Simplify right side
    2,399.62x = 4,475,993.70
  5. Step 5: Solve for x
    x = 4,475,993.70/2,399.62
  6. Step 6: Final answer
    x = 1,865.29

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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.