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Finding the Fourth Proportional to 3,197.88, 4,797 and 1,349.01

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Solution

The fourth proportional to 3,197.88, 4,797 and 1,349.01 is: 2,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.88 : 4,797 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    3,197.88/4,797 = 1,349.01/x
  3. Step 3: Cross multiply
    3,197.88x = 4,797 × 1,349.01
  4. Step 4: Simplify right side
    3,197.88x = 6,471,200.97
  5. Step 5: Solve for x
    x = 6,471,200.97/3,197.88
  6. Step 6: Final answer
    x = 2,023.59

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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.