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Finding the Fourth Proportional to 1,481.42, 2,044.20 and 851.95

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Solution

The fourth proportional to 1,481.42, 2,044.20 and 851.95 is: 1,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.42 : 2,044.20 = 851.95 : x
  2. Step 2: Convert to fraction form
    1,481.42/2,044.20 = 851.95/x
  3. Step 3: Cross multiply
    1,481.42x = 2,044.20 × 851.95
  4. Step 4: Simplify right side
    1,481.42x = 1,741,561.94
  5. Step 5: Solve for x
    x = 1,741,561.94/1,481.42
  6. Step 6: Final answer
    x = 1,175.60

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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.