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Finding the Fourth Proportional to 2,195.99, 3,286.16 and 1,760.04

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Solution

The fourth proportional to 2,195.99, 3,286.16 and 1,760.04 is: 2,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.99 : 3,286.16 = 1,760.04 : x
  2. Step 2: Convert to fraction form
    2,195.99/3,286.16 = 1,760.04/x
  3. Step 3: Cross multiply
    2,195.99x = 3,286.16 × 1,760.04
  4. Step 4: Simplify right side
    2,195.99x = 5,783,773.05
  5. Step 5: Solve for x
    x = 5,783,773.05/2,195.99
  6. Step 6: Final answer
    x = 2,633.79

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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.