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Finding the Fourth Proportional to 3,205.99, 4,424.67 and 1,879.43

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Solution

The fourth proportional to 3,205.99, 4,424.67 and 1,879.43 is: 2,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.99 : 4,424.67 = 1,879.43 : x
  2. Step 2: Convert to fraction form
    3,205.99/4,424.67 = 1,879.43/x
  3. Step 3: Cross multiply
    3,205.99x = 4,424.67 × 1,879.43
  4. Step 4: Simplify right side
    3,205.99x = 8,315,857.54
  5. Step 5: Solve for x
    x = 8,315,857.54/3,205.99
  6. Step 6: Final answer
    x = 2,593.85

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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.