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Finding the Fourth Proportional to 2,092.82, 3,140.14 and 795.20

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Solution

The fourth proportional to 2,092.82, 3,140.14 and 795.20 is: 1,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.82 : 3,140.14 = 795.20 : x
  2. Step 2: Convert to fraction form
    2,092.82/3,140.14 = 795.20/x
  3. Step 3: Cross multiply
    2,092.82x = 3,140.14 × 795.20
  4. Step 4: Simplify right side
    2,092.82x = 2,497,039.33
  5. Step 5: Solve for x
    x = 2,497,039.33/2,092.82
  6. Step 6: Final answer
    x = 1,193.15

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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.