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Finding the Fourth Proportional to 3,197.27, 4,794.69 and 1,530.90

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Solution

The fourth proportional to 3,197.27, 4,794.69 and 1,530.90 is: 2,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.27 : 4,794.69 = 1,530.90 : x
  2. Step 2: Convert to fraction form
    3,197.27/4,794.69 = 1,530.90/x
  3. Step 3: Cross multiply
    3,197.27x = 4,794.69 × 1,530.90
  4. Step 4: Simplify right side
    3,197.27x = 7,340,190.92
  5. Step 5: Solve for x
    x = 7,340,190.92/3,197.27
  6. Step 6: Final answer
    x = 2,295.77

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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.