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Finding the Fourth Proportional to 1,481.72, 2,044.52 and 843.56

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Solution

The fourth proportional to 1,481.72, 2,044.52 and 843.56 is: 1,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.72 : 2,044.52 = 843.56 : x
  2. Step 2: Convert to fraction form
    1,481.72/2,044.52 = 843.56/x
  3. Step 3: Cross multiply
    1,481.72x = 2,044.52 × 843.56
  4. Step 4: Simplify right side
    1,481.72x = 1,724,667.18
  5. Step 5: Solve for x
    x = 1,724,667.18/1,481.72
  6. Step 6: Final answer
    x = 1,163.96

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