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Finding the Fourth Proportional to 2,212.75, 3,311.83 and 1,969.75

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Solution

The fourth proportional to 2,212.75, 3,311.83 and 1,969.75 is: 2,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.75 : 3,311.83 = 1,969.75 : x
  2. Step 2: Convert to fraction form
    2,212.75/3,311.83 = 1,969.75/x
  3. Step 3: Cross multiply
    2,212.75x = 3,311.83 × 1,969.75
  4. Step 4: Simplify right side
    2,212.75x = 6,523,450.73
  5. Step 5: Solve for x
    x = 6,523,450.73/2,212.75
  6. Step 6: Final answer
    x = 2,948.13

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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.