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Finding the Fourth Proportional to 3,222.95, 4,834.89 and 1,222.38

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Solution

The fourth proportional to 3,222.95, 4,834.89 and 1,222.38 is: 1,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.95 : 4,834.89 = 1,222.38 : x
  2. Step 2: Convert to fraction form
    3,222.95/4,834.89 = 1,222.38/x
  3. Step 3: Cross multiply
    3,222.95x = 4,834.89 × 1,222.38
  4. Step 4: Simplify right side
    3,222.95x = 5,910,074.56
  5. Step 5: Solve for x
    x = 5,910,074.56/3,222.95
  6. Step 6: Final answer
    x = 1,833.75

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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.