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Finding the Fourth Proportional to 1,481.48, 2,044.08 and 851.96

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Solution

The fourth proportional to 1,481.48, 2,044.08 and 851.96 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.48 : 2,044.08 = 851.96 : x
  2. Step 2: Convert to fraction form
    1,481.48/2,044.08 = 851.96/x
  3. Step 3: Cross multiply
    1,481.48x = 2,044.08 × 851.96
  4. Step 4: Simplify right side
    1,481.48x = 1,741,474.40
  5. Step 5: Solve for x
    x = 1,741,474.40/1,481.48
  6. Step 6: Final answer
    x = 1,175.50

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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.