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Finding the Fourth Proportional to 2,781.97, 4,173.56 and 834.02

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Solution

The fourth proportional to 2,781.97, 4,173.56 and 834.02 is: 1,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.97 : 4,173.56 = 834.02 : x
  2. Step 2: Convert to fraction form
    2,781.97/4,173.56 = 834.02/x
  3. Step 3: Cross multiply
    2,781.97x = 4,173.56 × 834.02
  4. Step 4: Simplify right side
    2,781.97x = 3,480,832.51
  5. Step 5: Solve for x
    x = 3,480,832.51/2,781.97
  6. Step 6: Final answer
    x = 1,251.21

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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.