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Finding the Fourth Proportional to 2,196.62, 3,292.85 and 734.72

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Solution

The fourth proportional to 2,196.62, 3,292.85 and 734.72 is: 1,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.62 : 3,292.85 = 734.72 : x
  2. Step 2: Convert to fraction form
    2,196.62/3,292.85 = 734.72/x
  3. Step 3: Cross multiply
    2,196.62x = 3,292.85 × 734.72
  4. Step 4: Simplify right side
    2,196.62x = 2,419,302.61
  5. Step 5: Solve for x
    x = 2,419,302.61/2,196.62
  6. Step 6: Final answer
    x = 1,101.38

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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.