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Finding the Fourth Proportional to 3,212.25, 4,816.02 and 2,169.66

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Solution

The fourth proportional to 3,212.25, 4,816.02 and 2,169.66 is: 3,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.25 : 4,816.02 = 2,169.66 : x
  2. Step 2: Convert to fraction form
    3,212.25/4,816.02 = 2,169.66/x
  3. Step 3: Cross multiply
    3,212.25x = 4,816.02 × 2,169.66
  4. Step 4: Simplify right side
    3,212.25x = 10,449,125.95
  5. Step 5: Solve for x
    x = 10,449,125.95/3,212.25
  6. Step 6: Final answer
    x = 3,252.90

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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.