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Finding the Fourth Proportional to 4,162.26, 6,238.80 and 1,696.49

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Solution

The fourth proportional to 4,162.26, 6,238.80 and 1,696.49 is: 2,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.26 : 6,238.80 = 1,696.49 : x
  2. Step 2: Convert to fraction form
    4,162.26/6,238.80 = 1,696.49/x
  3. Step 3: Cross multiply
    4,162.26x = 6,238.80 × 1,696.49
  4. Step 4: Simplify right side
    4,162.26x = 10,584,054.01
  5. Step 5: Solve for x
    x = 10,584,054.01/4,162.26
  6. Step 6: Final answer
    x = 2,542.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.