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Finding the Fourth Proportional to 2,205, 3,305.78 and 1,163.64

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Solution

The fourth proportional to 2,205, 3,305.78 and 1,163.64 is: 1,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205 : 3,305.78 = 1,163.64 : x
  2. Step 2: Convert to fraction form
    2,205/3,305.78 = 1,163.64/x
  3. Step 3: Cross multiply
    2,205x = 3,305.78 × 1,163.64
  4. Step 4: Simplify right side
    2,205x = 3,846,737.84
  5. Step 5: Solve for x
    x = 3,846,737.84/2,205
  6. Step 6: Final answer
    x = 1,744.55

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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.