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Finding the Fourth Proportional to 4,125.28, 6,189.90 and 1,661.80

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Solution

The fourth proportional to 4,125.28, 6,189.90 and 1,661.80 is: 2,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.28 : 6,189.90 = 1,661.80 : x
  2. Step 2: Convert to fraction form
    4,125.28/6,189.90 = 1,661.80/x
  3. Step 3: Cross multiply
    4,125.28x = 6,189.90 × 1,661.80
  4. Step 4: Simplify right side
    4,125.28x = 10,286,375.82
  5. Step 5: Solve for x
    x = 10,286,375.82/4,125.28
  6. Step 6: Final answer
    x = 2,493.50

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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.