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Finding the Fourth Proportional to 1,448.92, 1,997.38 and 1,027.97

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Solution

The fourth proportional to 1,448.92, 1,997.38 and 1,027.97 is: 1,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.92 : 1,997.38 = 1,027.97 : x
  2. Step 2: Convert to fraction form
    1,448.92/1,997.38 = 1,027.97/x
  3. Step 3: Cross multiply
    1,448.92x = 1,997.38 × 1,027.97
  4. Step 4: Simplify right side
    1,448.92x = 2,053,246.72
  5. Step 5: Solve for x
    x = 2,053,246.72/1,448.92
  6. Step 6: Final answer
    x = 1,417.09

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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.