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Finding the Fourth Proportional to 3,131.39, 4,694.00 and 1,745.38

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Solution

The fourth proportional to 3,131.39, 4,694.00 and 1,745.38 is: 2,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.39 : 4,694.00 = 1,745.38 : x
  2. Step 2: Convert to fraction form
    3,131.39/4,694.00 = 1,745.38/x
  3. Step 3: Cross multiply
    3,131.39x = 4,694.00 × 1,745.38
  4. Step 4: Simplify right side
    3,131.39x = 8,192,793.26
  5. Step 5: Solve for x
    x = 8,192,793.26/3,131.39
  6. Step 6: Final answer
    x = 2,616.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.