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Finding the Fourth Proportional to 3,273.69, 4,908.67 and 2,234.95

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Solution

The fourth proportional to 3,273.69, 4,908.67 and 2,234.95 is: 3,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.69 : 4,908.67 = 2,234.95 : x
  2. Step 2: Convert to fraction form
    3,273.69/4,908.67 = 2,234.95/x
  3. Step 3: Cross multiply
    3,273.69x = 4,908.67 × 2,234.95
  4. Step 4: Simplify right side
    3,273.69x = 10,970,632.02
  5. Step 5: Solve for x
    x = 10,970,632.02/3,273.69
  6. Step 6: Final answer
    x = 3,351.15

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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.