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Finding the Fourth Proportional to 2,098.52, 3,147.85 and 865.22

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Solution

The fourth proportional to 2,098.52, 3,147.85 and 865.22 is: 1,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.52 : 3,147.85 = 865.22 : x
  2. Step 2: Convert to fraction form
    2,098.52/3,147.85 = 865.22/x
  3. Step 3: Cross multiply
    2,098.52x = 3,147.85 × 865.22
  4. Step 4: Simplify right side
    2,098.52x = 2,723,568.12
  5. Step 5: Solve for x
    x = 2,723,568.12/2,098.52
  6. Step 6: Final answer
    x = 1,297.85

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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.