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Finding the Fourth Proportional to 2,582.97, 3,874.42 and 635.16

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Solution

The fourth proportional to 2,582.97, 3,874.42 and 635.16 is: 952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.97 : 3,874.42 = 635.16 : x
  2. Step 2: Convert to fraction form
    2,582.97/3,874.42 = 635.16/x
  3. Step 3: Cross multiply
    2,582.97x = 3,874.42 × 635.16
  4. Step 4: Simplify right side
    2,582.97x = 2,460,876.61
  5. Step 5: Solve for x
    x = 2,460,876.61/2,582.97
  6. Step 6: Final answer
    x = 952.73

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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.