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Finding the Fourth Proportional to 2,197.44, 3,295.96 and 964.68

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Solution

The fourth proportional to 2,197.44, 3,295.96 and 964.68 is: 1,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.44 : 3,295.96 = 964.68 : x
  2. Step 2: Convert to fraction form
    2,197.44/3,295.96 = 964.68/x
  3. Step 3: Cross multiply
    2,197.44x = 3,295.96 × 964.68
  4. Step 4: Simplify right side
    2,197.44x = 3,179,546.69
  5. Step 5: Solve for x
    x = 3,179,546.69/2,197.44
  6. Step 6: Final answer
    x = 1,446.93

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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.