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Finding the Fourth Proportional to 1,997.05, 2,996.69 and 827.92

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Solution

The fourth proportional to 1,997.05, 2,996.69 and 827.92 is: 1,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.05 : 2,996.69 = 827.92 : x
  2. Step 2: Convert to fraction form
    1,997.05/2,996.69 = 827.92/x
  3. Step 3: Cross multiply
    1,997.05x = 2,996.69 × 827.92
  4. Step 4: Simplify right side
    1,997.05x = 2,481,000.46
  5. Step 5: Solve for x
    x = 2,481,000.46/1,997.05
  6. Step 6: Final answer
    x = 1,242.33

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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.