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Finding the Fourth Proportional to 3,201.86, 4,418.73 and 2,414.54

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Solution

The fourth proportional to 3,201.86, 4,418.73 and 2,414.54 is: 3,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.86 : 4,418.73 = 2,414.54 : x
  2. Step 2: Convert to fraction form
    3,201.86/4,418.73 = 2,414.54/x
  3. Step 3: Cross multiply
    3,201.86x = 4,418.73 × 2,414.54
  4. Step 4: Simplify right side
    3,201.86x = 10,669,211.38
  5. Step 5: Solve for x
    x = 10,669,211.38/3,201.86
  6. Step 6: Final answer
    x = 3,332.19

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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.