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Finding the Fourth Proportional to 2,092.26, 3,138.26 and 631.44

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Solution

The fourth proportional to 2,092.26, 3,138.26 and 631.44 is: 947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.26 : 3,138.26 = 631.44 : x
  2. Step 2: Convert to fraction form
    2,092.26/3,138.26 = 631.44/x
  3. Step 3: Cross multiply
    2,092.26x = 3,138.26 × 631.44
  4. Step 4: Simplify right side
    2,092.26x = 1,981,622.89
  5. Step 5: Solve for x
    x = 1,981,622.89/2,092.26
  6. Step 6: Final answer
    x = 947.12

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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.