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Finding the Fourth Proportional to 2,092, 2,892.42 and 2,000.20

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Solution

The fourth proportional to 2,092, 2,892.42 and 2,000.20 is: 2,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 2,892.42 = 2,000.20 : x
  2. Step 2: Convert to fraction form
    2,092/2,892.42 = 2,000.20/x
  3. Step 3: Cross multiply
    2,092x = 2,892.42 × 2,000.20
  4. Step 4: Simplify right side
    2,092x = 5,785,418.48
  5. Step 5: Solve for x
    x = 5,785,418.48/2,092
  6. Step 6: Final answer
    x = 2,765.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.