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Finding the Fourth Proportional to 3,255.80, 4,886.31 and 1,696.27

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Solution

The fourth proportional to 3,255.80, 4,886.31 and 1,696.27 is: 2,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.80 : 4,886.31 = 1,696.27 : x
  2. Step 2: Convert to fraction form
    3,255.80/4,886.31 = 1,696.27/x
  3. Step 3: Cross multiply
    3,255.80x = 4,886.31 × 1,696.27
  4. Step 4: Simplify right side
    3,255.80x = 8,288,486.05
  5. Step 5: Solve for x
    x = 8,288,486.05/3,255.80
  6. Step 6: Final answer
    x = 2,545.76

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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.