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Finding the Fourth Proportional to 2,087.62, 3,129.38 and 1,163.62

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Solution

The fourth proportional to 2,087.62, 3,129.38 and 1,163.62 is: 1,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.62 : 3,129.38 = 1,163.62 : x
  2. Step 2: Convert to fraction form
    2,087.62/3,129.38 = 1,163.62/x
  3. Step 3: Cross multiply
    2,087.62x = 3,129.38 × 1,163.62
  4. Step 4: Simplify right side
    2,087.62x = 3,641,409.16
  5. Step 5: Solve for x
    x = 3,641,409.16/2,087.62
  6. Step 6: Final answer
    x = 1,744.29

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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.