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Finding the Fourth Proportional to 2,195.61, 3,293.44 and 734.73

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Solution

The fourth proportional to 2,195.61, 3,293.44 and 734.73 is: 1,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.61 : 3,293.44 = 734.73 : x
  2. Step 2: Convert to fraction form
    2,195.61/3,293.44 = 734.73/x
  3. Step 3: Cross multiply
    2,195.61x = 3,293.44 × 734.73
  4. Step 4: Simplify right side
    2,195.61x = 2,419,789.17
  5. Step 5: Solve for x
    x = 2,419,789.17/2,195.61
  6. Step 6: Final answer
    x = 1,102.10

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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.