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Finding the Fourth Proportional to 2,197.15, 3,295.04 and 735.96

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Solution

The fourth proportional to 2,197.15, 3,295.04 and 735.96 is: 1,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.15 : 3,295.04 = 735.96 : x
  2. Step 2: Convert to fraction form
    2,197.15/3,295.04 = 735.96/x
  3. Step 3: Cross multiply
    2,197.15x = 3,295.04 × 735.96
  4. Step 4: Simplify right side
    2,197.15x = 2,425,022.22
  5. Step 5: Solve for x
    x = 2,425,022.22/2,197.15
  6. Step 6: Final answer
    x = 1,103.71

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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.