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Finding the Fourth Proportional to 3,163.82, 4,366.07 and 1,766.57

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Solution

The fourth proportional to 3,163.82, 4,366.07 and 1,766.57 is: 2,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.82 : 4,366.07 = 1,766.57 : x
  2. Step 2: Convert to fraction form
    3,163.82/4,366.07 = 1,766.57/x
  3. Step 3: Cross multiply
    3,163.82x = 4,366.07 × 1,766.57
  4. Step 4: Simplify right side
    3,163.82x = 7,712,937.62
  5. Step 5: Solve for x
    x = 7,712,937.62/3,163.82
  6. Step 6: Final answer
    x = 2,437.86

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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.