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Finding the Fourth Proportional to 1,481.73, 2,044.91 and 852.47

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Solution

The fourth proportional to 1,481.73, 2,044.91 and 852.47 is: 1,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.73 : 2,044.91 = 852.47 : x
  2. Step 2: Convert to fraction form
    1,481.73/2,044.91 = 852.47/x
  3. Step 3: Cross multiply
    1,481.73x = 2,044.91 × 852.47
  4. Step 4: Simplify right side
    1,481.73x = 1,743,214.20
  5. Step 5: Solve for x
    x = 1,743,214.20/1,481.73
  6. Step 6: Final answer
    x = 1,176.47

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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.