Home / 2,198.26-3,295.60-964.73

Finding the Fourth Proportional to 2,198.26, 3,295.60 and 964.73

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Solution

The fourth proportional to 2,198.26, 3,295.60 and 964.73 is: 1,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.26 : 3,295.60 = 964.73 : x
  2. Step 2: Convert to fraction form
    2,198.26/3,295.60 = 964.73/x
  3. Step 3: Cross multiply
    2,198.26x = 3,295.60 × 964.73
  4. Step 4: Simplify right side
    2,198.26x = 3,179,364.19
  5. Step 5: Solve for x
    x = 3,179,364.19/2,198.26
  6. Step 6: Final answer
    x = 1,446.31

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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.