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Finding the Fourth Proportional to 3,169.64, 4,747.42 and 2,433.80

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Solution

The fourth proportional to 3,169.64, 4,747.42 and 2,433.80 is: 3,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.64 : 4,747.42 = 2,433.80 : x
  2. Step 2: Convert to fraction form
    3,169.64/4,747.42 = 2,433.80/x
  3. Step 3: Cross multiply
    3,169.64x = 4,747.42 × 2,433.80
  4. Step 4: Simplify right side
    3,169.64x = 11,554,270.80
  5. Step 5: Solve for x
    x = 11,554,270.80/3,169.64
  6. Step 6: Final answer
    x = 3,645.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.