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Finding the Fourth Proportional to 3,198, 4,797.36 and 1,467.84

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Solution

The fourth proportional to 3,198, 4,797.36 and 1,467.84 is: 2,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198 : 4,797.36 = 1,467.84 : x
  2. Step 2: Convert to fraction form
    3,198/4,797.36 = 1,467.84/x
  3. Step 3: Cross multiply
    3,198x = 4,797.36 × 1,467.84
  4. Step 4: Simplify right side
    3,198x = 7,041,756.90
  5. Step 5: Solve for x
    x = 7,041,756.90/3,198
  6. Step 6: Final answer
    x = 2,201.93

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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.