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Finding the Fourth Proportional to 3,163.50, 4,365.90 and 1,766.52

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Solution

The fourth proportional to 3,163.50, 4,365.90 and 1,766.52 is: 2,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.50 : 4,365.90 = 1,766.52 : x
  2. Step 2: Convert to fraction form
    3,163.50/4,365.90 = 1,766.52/x
  3. Step 3: Cross multiply
    3,163.50x = 4,365.90 × 1,766.52
  4. Step 4: Simplify right side
    3,163.50x = 7,712,449.67
  5. Step 5: Solve for x
    x = 7,712,449.67/3,163.50
  6. Step 6: Final answer
    x = 2,437.95

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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.