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Finding the Fourth Proportional to 3,197.32, 4,794.06 and 1,321.77

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Solution

The fourth proportional to 3,197.32, 4,794.06 and 1,321.77 is: 1,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.32 : 4,794.06 = 1,321.77 : x
  2. Step 2: Convert to fraction form
    3,197.32/4,794.06 = 1,321.77/x
  3. Step 3: Cross multiply
    3,197.32x = 4,794.06 × 1,321.77
  4. Step 4: Simplify right side
    3,197.32x = 6,336,644.69
  5. Step 5: Solve for x
    x = 6,336,644.69/3,197.32
  6. Step 6: Final answer
    x = 1,981.86

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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.