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Finding the Fourth Proportional to 3,147.58, 4,344.20 and 1,822.09

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Solution

The fourth proportional to 3,147.58, 4,344.20 and 1,822.09 is: 2,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.58 : 4,344.20 = 1,822.09 : x
  2. Step 2: Convert to fraction form
    3,147.58/4,344.20 = 1,822.09/x
  3. Step 3: Cross multiply
    3,147.58x = 4,344.20 × 1,822.09
  4. Step 4: Simplify right side
    3,147.58x = 7,915,523.38
  5. Step 5: Solve for x
    x = 7,915,523.38/3,147.58
  6. Step 6: Final answer
    x = 2,514.80

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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.