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Finding the Fourth Proportional to 2,196.90, 3,293.12 and 734.85

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Solution

The fourth proportional to 2,196.90, 3,293.12 and 734.85 is: 1,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.90 : 3,293.12 = 734.85 : x
  2. Step 2: Convert to fraction form
    2,196.90/3,293.12 = 734.85/x
  3. Step 3: Cross multiply
    2,196.90x = 3,293.12 × 734.85
  4. Step 4: Simplify right side
    2,196.90x = 2,419,951.07
  5. Step 5: Solve for x
    x = 2,419,951.07/2,196.90
  6. Step 6: Final answer
    x = 1,101.53

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