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Finding the Fourth Proportional to 4,163.50, 6,245.22 and 1,697.74

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Solution

The fourth proportional to 4,163.50, 6,245.22 and 1,697.74 is: 2,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.50 : 6,245.22 = 1,697.74 : x
  2. Step 2: Convert to fraction form
    4,163.50/6,245.22 = 1,697.74/x
  3. Step 3: Cross multiply
    4,163.50x = 6,245.22 × 1,697.74
  4. Step 4: Simplify right side
    4,163.50x = 10,602,759.80
  5. Step 5: Solve for x
    x = 10,602,759.80/4,163.50
  6. Step 6: Final answer
    x = 2,546.60

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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.