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Finding the Fourth Proportional to 2,197.18, 3,294.97 and 735.98

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Solution

The fourth proportional to 2,197.18, 3,294.97 and 735.98 is: 1,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.18 : 3,294.97 = 735.98 : x
  2. Step 2: Convert to fraction form
    2,197.18/3,294.97 = 735.98/x
  3. Step 3: Cross multiply
    2,197.18x = 3,294.97 × 735.98
  4. Step 4: Simplify right side
    2,197.18x = 2,425,038.42
  5. Step 5: Solve for x
    x = 2,425,038.42/2,197.18
  6. Step 6: Final answer
    x = 1,103.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.