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Finding the Fourth Proportional to 4,161.98, 6,245.28 and 1,696.61

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Solution

The fourth proportional to 4,161.98, 6,245.28 and 1,696.61 is: 2,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.98 : 6,245.28 = 1,696.61 : x
  2. Step 2: Convert to fraction form
    4,161.98/6,245.28 = 1,696.61/x
  3. Step 3: Cross multiply
    4,161.98x = 6,245.28 × 1,696.61
  4. Step 4: Simplify right side
    4,161.98x = 10,595,804.24
  5. Step 5: Solve for x
    x = 10,595,804.24/4,161.98
  6. Step 6: Final answer
    x = 2,545.86

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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.