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Finding the Fourth Proportional to 1,997.14, 2,996.97 and 842.89

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Solution

The fourth proportional to 1,997.14, 2,996.97 and 842.89 is: 1,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.14 : 2,996.97 = 842.89 : x
  2. Step 2: Convert to fraction form
    1,997.14/2,996.97 = 842.89/x
  3. Step 3: Cross multiply
    1,997.14x = 2,996.97 × 842.89
  4. Step 4: Simplify right side
    1,997.14x = 2,526,116.04
  5. Step 5: Solve for x
    x = 2,526,116.04/1,997.14
  6. Step 6: Final answer
    x = 1,264.87

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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.