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Finding the Fourth Proportional to 2,092.37, 3,138.62 and 996.17

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Solution

The fourth proportional to 2,092.37, 3,138.62 and 996.17 is: 1,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.37 : 3,138.62 = 996.17 : x
  2. Step 2: Convert to fraction form
    2,092.37/3,138.62 = 996.17/x
  3. Step 3: Cross multiply
    2,092.37x = 3,138.62 × 996.17
  4. Step 4: Simplify right side
    2,092.37x = 3,126,578.41
  5. Step 5: Solve for x
    x = 3,126,578.41/2,092.37
  6. Step 6: Final answer
    x = 1,494.28

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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.