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Finding the Fourth Proportional to 2,195.19, 3,293.49 and 734.55

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Solution

The fourth proportional to 2,195.19, 3,293.49 and 734.55 is: 1,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.19 : 3,293.49 = 734.55 : x
  2. Step 2: Convert to fraction form
    2,195.19/3,293.49 = 734.55/x
  3. Step 3: Cross multiply
    2,195.19x = 3,293.49 × 734.55
  4. Step 4: Simplify right side
    2,195.19x = 2,419,233.08
  5. Step 5: Solve for x
    x = 2,419,233.08/2,195.19
  6. Step 6: Final answer
    x = 1,102.06

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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.