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Finding the Fourth Proportional to 3,198.97, 4,414.56 and 1,782.64

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Solution

The fourth proportional to 3,198.97, 4,414.56 and 1,782.64 is: 2,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.97 : 4,414.56 = 1,782.64 : x
  2. Step 2: Convert to fraction form
    3,198.97/4,414.56 = 1,782.64/x
  3. Step 3: Cross multiply
    3,198.97x = 4,414.56 × 1,782.64
  4. Step 4: Simplify right side
    3,198.97x = 7,869,571.24
  5. Step 5: Solve for x
    x = 7,869,571.24/3,198.97
  6. Step 6: Final answer
    x = 2,460.03

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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.