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Finding the Fourth Proportional to 2,982.44, 4,472.62 and 1,034.22

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Solution

The fourth proportional to 2,982.44, 4,472.62 and 1,034.22 is: 1,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.44 : 4,472.62 = 1,034.22 : x
  2. Step 2: Convert to fraction form
    2,982.44/4,472.62 = 1,034.22/x
  3. Step 3: Cross multiply
    2,982.44x = 4,472.62 × 1,034.22
  4. Step 4: Simplify right side
    2,982.44x = 4,625,673.06
  5. Step 5: Solve for x
    x = 4,625,673.06/2,982.44
  6. Step 6: Final answer
    x = 1,550.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.