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Finding the Fourth Proportional to 3,197.87, 4,797.45 and 1,348.98

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Solution

The fourth proportional to 3,197.87, 4,797.45 and 1,348.98 is: 2,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.87 : 4,797.45 = 1,348.98 : x
  2. Step 2: Convert to fraction form
    3,197.87/4,797.45 = 1,348.98/x
  3. Step 3: Cross multiply
    3,197.87x = 4,797.45 × 1,348.98
  4. Step 4: Simplify right side
    3,197.87x = 6,471,664.10
  5. Step 5: Solve for x
    x = 6,471,664.10/3,197.87
  6. Step 6: Final answer
    x = 2,023.75

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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.