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Finding the Fourth Proportional to 2,092.14, 3,136.17 and 996.21

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Solution

The fourth proportional to 2,092.14, 3,136.17 and 996.21 is: 1,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.14 : 3,136.17 = 996.21 : x
  2. Step 2: Convert to fraction form
    2,092.14/3,136.17 = 996.21/x
  3. Step 3: Cross multiply
    2,092.14x = 3,136.17 × 996.21
  4. Step 4: Simplify right side
    2,092.14x = 3,124,283.92
  5. Step 5: Solve for x
    x = 3,124,283.92/2,092.14
  6. Step 6: Final answer
    x = 1,493.34

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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.