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Finding the Fourth Proportional to 2,781.40, 4,170.87 and 833.23

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Solution

The fourth proportional to 2,781.40, 4,170.87 and 833.23 is: 1,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.40 : 4,170.87 = 833.23 : x
  2. Step 2: Convert to fraction form
    2,781.40/4,170.87 = 833.23/x
  3. Step 3: Cross multiply
    2,781.40x = 4,170.87 × 833.23
  4. Step 4: Simplify right side
    2,781.40x = 3,475,294.01
  5. Step 5: Solve for x
    x = 3,475,294.01/2,781.40
  6. Step 6: Final answer
    x = 1,249.48

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1.5x scale

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.