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Finding the Fourth Proportional to 2,086.92, 3,131.40 and 1,163.16

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Solution

The fourth proportional to 2,086.92, 3,131.40 and 1,163.16 is: 1,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.92 : 3,131.40 = 1,163.16 : x
  2. Step 2: Convert to fraction form
    2,086.92/3,131.40 = 1,163.16/x
  3. Step 3: Cross multiply
    2,086.92x = 3,131.40 × 1,163.16
  4. Step 4: Simplify right side
    2,086.92x = 3,642,319.22
  5. Step 5: Solve for x
    x = 3,642,319.22/2,086.92
  6. Step 6: Final answer
    x = 1,745.31

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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.