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Finding the Fourth Proportional to 2,163.12, 3,244.68 and 702.42

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Solution

The fourth proportional to 2,163.12, 3,244.68 and 702.42 is: 1,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.12 : 3,244.68 = 702.42 : x
  2. Step 2: Convert to fraction form
    2,163.12/3,244.68 = 702.42/x
  3. Step 3: Cross multiply
    2,163.12x = 3,244.68 × 702.42
  4. Step 4: Simplify right side
    2,163.12x = 2,279,128.13
  5. Step 5: Solve for x
    x = 2,279,128.13/2,163.12
  6. Step 6: Final answer
    x = 1,053.63

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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.