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Finding the Fourth Proportional to 2,196.39, 3,294.92 and 735.20

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Solution

The fourth proportional to 2,196.39, 3,294.92 and 735.20 is: 1,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.39 : 3,294.92 = 735.20 : x
  2. Step 2: Convert to fraction form
    2,196.39/3,294.92 = 735.20/x
  3. Step 3: Cross multiply
    2,196.39x = 3,294.92 × 735.20
  4. Step 4: Simplify right side
    2,196.39x = 2,422,408.71
  5. Step 5: Solve for x
    x = 2,422,408.71/2,196.39
  6. Step 6: Final answer
    x = 1,102.91

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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.