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Finding the Fourth Proportional to 2,825.69, 3,895.11 and 2,227.05

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Solution

The fourth proportional to 2,825.69, 3,895.11 and 2,227.05 is: 3,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.69 : 3,895.11 = 2,227.05 : x
  2. Step 2: Convert to fraction form
    2,825.69/3,895.11 = 2,227.05/x
  3. Step 3: Cross multiply
    2,825.69x = 3,895.11 × 2,227.05
  4. Step 4: Simplify right side
    2,825.69x = 8,674,604.73
  5. Step 5: Solve for x
    x = 8,674,604.73/2,825.69
  6. Step 6: Final answer
    x = 3,069.91

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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.