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Finding the Fourth Proportional to 3,198.04, 4,797.02 and 1,737.88

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Solution

The fourth proportional to 3,198.04, 4,797.02 and 1,737.88 is: 2,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.04 : 4,797.02 = 1,737.88 : x
  2. Step 2: Convert to fraction form
    3,198.04/4,797.02 = 1,737.88/x
  3. Step 3: Cross multiply
    3,198.04x = 4,797.02 × 1,737.88
  4. Step 4: Simplify right side
    3,198.04x = 8,336,645.12
  5. Step 5: Solve for x
    x = 8,336,645.12/3,198.04
  6. Step 6: Final answer
    x = 2,606.80

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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.