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Finding the Fourth Proportional to 3,201.57, 4,415.90 and 2,080.44

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Solution

The fourth proportional to 3,201.57, 4,415.90 and 2,080.44 is: 2,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.57 : 4,415.90 = 2,080.44 : x
  2. Step 2: Convert to fraction form
    3,201.57/4,415.90 = 2,080.44/x
  3. Step 3: Cross multiply
    3,201.57x = 4,415.90 × 2,080.44
  4. Step 4: Simplify right side
    3,201.57x = 9,187,004.59
  5. Step 5: Solve for x
    x = 9,187,004.59/3,201.57
  6. Step 6: Final answer
    x = 2,869.53

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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.