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Finding the Fourth Proportional to 3,201.99, 4,419.14 and 2,024.25

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Solution

The fourth proportional to 3,201.99, 4,419.14 and 2,024.25 is: 2,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.99 : 4,419.14 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    3,201.99/4,419.14 = 2,024.25/x
  3. Step 3: Cross multiply
    3,201.99x = 4,419.14 × 2,024.25
  4. Step 4: Simplify right side
    3,201.99x = 8,945,434.02
  5. Step 5: Solve for x
    x = 8,945,434.02/3,201.99
  6. Step 6: Final answer
    x = 2,793.71

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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.