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Finding the Fourth Proportional to 3,198.23, 4,797.93 and 1,119.52

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Solution

The fourth proportional to 3,198.23, 4,797.93 and 1,119.52 is: 1,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.23 : 4,797.93 = 1,119.52 : x
  2. Step 2: Convert to fraction form
    3,198.23/4,797.93 = 1,119.52/x
  3. Step 3: Cross multiply
    3,198.23x = 4,797.93 × 1,119.52
  4. Step 4: Simplify right side
    3,198.23x = 5,371,388.79
  5. Step 5: Solve for x
    x = 5,371,388.79/3,198.23
  6. Step 6: Final answer
    x = 1,679.49

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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.