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Finding the Fourth Proportional to 2,149.03, 3,222.73 and 994.78

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Solution

The fourth proportional to 2,149.03, 3,222.73 and 994.78 is: 1,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.03 : 3,222.73 = 994.78 : x
  2. Step 2: Convert to fraction form
    2,149.03/3,222.73 = 994.78/x
  3. Step 3: Cross multiply
    2,149.03x = 3,222.73 × 994.78
  4. Step 4: Simplify right side
    2,149.03x = 3,205,907.35
  5. Step 5: Solve for x
    x = 3,205,907.35/2,149.03
  6. Step 6: Final answer
    x = 1,491.79

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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.