Home / 2,198.96-3,299.02-966.62

Finding the Fourth Proportional to 2,198.96, 3,299.02 and 966.62

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Solution

The fourth proportional to 2,198.96, 3,299.02 and 966.62 is: 1,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.96 : 3,299.02 = 966.62 : x
  2. Step 2: Convert to fraction form
    2,198.96/3,299.02 = 966.62/x
  3. Step 3: Cross multiply
    2,198.96x = 3,299.02 × 966.62
  4. Step 4: Simplify right side
    2,198.96x = 3,188,879.80
  5. Step 5: Solve for x
    x = 3,188,879.80/2,198.96
  6. Step 6: Final answer
    x = 1,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.