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Finding the Fourth Proportional to 3,238.26, 4,469.04 and 1,822.11

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Solution

The fourth proportional to 3,238.26, 4,469.04 and 1,822.11 is: 2,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.26 : 4,469.04 = 1,822.11 : x
  2. Step 2: Convert to fraction form
    3,238.26/4,469.04 = 1,822.11/x
  3. Step 3: Cross multiply
    3,238.26x = 4,469.04 × 1,822.11
  4. Step 4: Simplify right side
    3,238.26x = 8,143,082.47
  5. Step 5: Solve for x
    x = 8,143,082.47/3,238.26
  6. Step 6: Final answer
    x = 2,514.65

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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.