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Finding the Fourth Proportional to 2,000.62, 2,761.22 and 1,255.24

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Solution

The fourth proportional to 2,000.62, 2,761.22 and 1,255.24 is: 1,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.62 : 2,761.22 = 1,255.24 : x
  2. Step 2: Convert to fraction form
    2,000.62/2,761.22 = 1,255.24/x
  3. Step 3: Cross multiply
    2,000.62x = 2,761.22 × 1,255.24
  4. Step 4: Simplify right side
    2,000.62x = 3,465,993.79
  5. Step 5: Solve for x
    x = 3,465,993.79/2,000.62
  6. Step 6: Final answer
    x = 1,732.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.