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Finding the Fourth Proportional to 2,195.28, 3,292.90 and 734.43

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Solution

The fourth proportional to 2,195.28, 3,292.90 and 734.43 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.28 : 3,292.90 = 734.43 : x
  2. Step 2: Convert to fraction form
    2,195.28/3,292.90 = 734.43/x
  3. Step 3: Cross multiply
    2,195.28x = 3,292.90 × 734.43
  4. Step 4: Simplify right side
    2,195.28x = 2,418,404.55
  5. Step 5: Solve for x
    x = 2,418,404.55/2,195.28
  6. Step 6: Final answer
    x = 1,101.64

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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.