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Finding the Fourth Proportional to 2,197.64, 3,294.30 and 1,221.73

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Solution

The fourth proportional to 2,197.64, 3,294.30 and 1,221.73 is: 1,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.64 : 3,294.30 = 1,221.73 : x
  2. Step 2: Convert to fraction form
    2,197.64/3,294.30 = 1,221.73/x
  3. Step 3: Cross multiply
    2,197.64x = 3,294.30 × 1,221.73
  4. Step 4: Simplify right side
    2,197.64x = 4,024,745.14
  5. Step 5: Solve for x
    x = 4,024,745.14/2,197.64
  6. Step 6: Final answer
    x = 1,831.39

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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.