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Finding the Fourth Proportional to 1,447.92, 1,997.60 and 923.04

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Solution

The fourth proportional to 1,447.92, 1,997.60 and 923.04 is: 1,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.92 : 1,997.60 = 923.04 : x
  2. Step 2: Convert to fraction form
    1,447.92/1,997.60 = 923.04/x
  3. Step 3: Cross multiply
    1,447.92x = 1,997.60 × 923.04
  4. Step 4: Simplify right side
    1,447.92x = 1,843,860.09
  5. Step 5: Solve for x
    x = 1,843,860.09/1,447.92
  6. Step 6: Final answer
    x = 1,273.45

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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.