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Finding the Fourth Proportional to 4,198.88, 6,294 and 1,601.12

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Solution

The fourth proportional to 4,198.88, 6,294 and 1,601.12 is: 2,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.88 : 6,294 = 1,601.12 : x
  2. Step 2: Convert to fraction form
    4,198.88/6,294 = 1,601.12/x
  3. Step 3: Cross multiply
    4,198.88x = 6,294 × 1,601.12
  4. Step 4: Simplify right side
    4,198.88x = 10,077,449.28
  5. Step 5: Solve for x
    x = 10,077,449.28/4,198.88
  6. Step 6: Final answer
    x = 2,400.03

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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.