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Finding the Fourth Proportional to 3,201.78, 4,418.12 and 2,082.79

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Solution

The fourth proportional to 3,201.78, 4,418.12 and 2,082.79 is: 2,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.78 : 4,418.12 = 2,082.79 : x
  2. Step 2: Convert to fraction form
    3,201.78/4,418.12 = 2,082.79/x
  3. Step 3: Cross multiply
    3,201.78x = 4,418.12 × 2,082.79
  4. Step 4: Simplify right side
    3,201.78x = 9,201,994.06
  5. Step 5: Solve for x
    x = 9,201,994.06/3,201.78
  6. Step 6: Final answer
    x = 2,874.03

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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.