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Finding the Fourth Proportional to 2,781.33, 4,171.50 and 833.13

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Solution

The fourth proportional to 2,781.33, 4,171.50 and 833.13 is: 1,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.33 : 4,171.50 = 833.13 : x
  2. Step 2: Convert to fraction form
    2,781.33/4,171.50 = 833.13/x
  3. Step 3: Cross multiply
    2,781.33x = 4,171.50 × 833.13
  4. Step 4: Simplify right side
    2,781.33x = 3,475,401.80
  5. Step 5: Solve for x
    x = 3,475,401.80/2,781.33
  6. Step 6: Final answer
    x = 1,249.55

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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.