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Finding the Fourth Proportional to 2,069.73, 2,855.24 and 1,229.96

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Solution

The fourth proportional to 2,069.73, 2,855.24 and 1,229.96 is: 1,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.73 : 2,855.24 = 1,229.96 : x
  2. Step 2: Convert to fraction form
    2,069.73/2,855.24 = 1,229.96/x
  3. Step 3: Cross multiply
    2,069.73x = 2,855.24 × 1,229.96
  4. Step 4: Simplify right side
    2,069.73x = 3,511,831.98
  5. Step 5: Solve for x
    x = 3,511,831.98/2,069.73
  6. Step 6: Final answer
    x = 1,696.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.