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Finding the Fourth Proportional to 2,092.12, 3,137.58 and 793.24

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Solution

The fourth proportional to 2,092.12, 3,137.58 and 793.24 is: 1,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.12 : 3,137.58 = 793.24 : x
  2. Step 2: Convert to fraction form
    2,092.12/3,137.58 = 793.24/x
  3. Step 3: Cross multiply
    2,092.12x = 3,137.58 × 793.24
  4. Step 4: Simplify right side
    2,092.12x = 2,488,853.96
  5. Step 5: Solve for x
    x = 2,488,853.96/2,092.12
  6. Step 6: Final answer
    x = 1,189.63

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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.