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Finding the Fourth Proportional to 2,463.80, 3,400.85 and 1,469.39

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Solution

The fourth proportional to 2,463.80, 3,400.85 and 1,469.39 is: 2,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.80 : 3,400.85 = 1,469.39 : x
  2. Step 2: Convert to fraction form
    2,463.80/3,400.85 = 1,469.39/x
  3. Step 3: Cross multiply
    2,463.80x = 3,400.85 × 1,469.39
  4. Step 4: Simplify right side
    2,463.80x = 4,997,161.65
  5. Step 5: Solve for x
    x = 4,997,161.65/2,463.80
  6. Step 6: Final answer
    x = 2,028.24

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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.