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Finding the Fourth Proportional to 2,132.46, 3,197.57 and 671.22

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Solution

The fourth proportional to 2,132.46, 3,197.57 and 671.22 is: 1,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.46 : 3,197.57 = 671.22 : x
  2. Step 2: Convert to fraction form
    2,132.46/3,197.57 = 671.22/x
  3. Step 3: Cross multiply
    2,132.46x = 3,197.57 × 671.22
  4. Step 4: Simplify right side
    2,132.46x = 2,146,269.58
  5. Step 5: Solve for x
    x = 2,146,269.58/2,132.46
  6. Step 6: Final answer
    x = 1,006.48

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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.