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Finding the Fourth Proportional to 2,581.97, 3,872.92 and 634.16

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Solution

The fourth proportional to 2,581.97, 3,872.92 and 634.16 is: 951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.97 : 3,872.92 = 634.16 : x
  2. Step 2: Convert to fraction form
    2,581.97/3,872.92 = 634.16/x
  3. Step 3: Cross multiply
    2,581.97x = 3,872.92 × 634.16
  4. Step 4: Simplify right side
    2,581.97x = 2,456,031.58
  5. Step 5: Solve for x
    x = 2,456,031.58/2,581.97
  6. Step 6: Final answer
    x = 951.22

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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.