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Finding the Fourth Proportional to 2,195.88, 3,293.82 and 635.97

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Solution

The fourth proportional to 2,195.88, 3,293.82 and 635.97 is: 953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.88 : 3,293.82 = 635.97 : x
  2. Step 2: Convert to fraction form
    2,195.88/3,293.82 = 635.97/x
  3. Step 3: Cross multiply
    2,195.88x = 3,293.82 × 635.97
  4. Step 4: Simplify right side
    2,195.88x = 2,094,770.71
  5. Step 5: Solve for x
    x = 2,094,770.71/2,195.88
  6. Step 6: Final answer
    x = 953.96

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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.