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Finding the Fourth Proportional to 1,481.31, 2,044.07 and 949.25

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Solution

The fourth proportional to 1,481.31, 2,044.07 and 949.25 is: 1,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.31 : 2,044.07 = 949.25 : x
  2. Step 2: Convert to fraction form
    1,481.31/2,044.07 = 949.25/x
  3. Step 3: Cross multiply
    1,481.31x = 2,044.07 × 949.25
  4. Step 4: Simplify right side
    1,481.31x = 1,940,337.37
  5. Step 5: Solve for x
    x = 1,940,337.37/1,481.31
  6. Step 6: Final answer
    x = 1,309.88

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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.