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Finding the Fourth Proportional to 3,205.99, 4,805.23 and 1,448.94

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Solution

The fourth proportional to 3,205.99, 4,805.23 and 1,448.94 is: 2,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.99 : 4,805.23 = 1,448.94 : x
  2. Step 2: Convert to fraction form
    3,205.99/4,805.23 = 1,448.94/x
  3. Step 3: Cross multiply
    3,205.99x = 4,805.23 × 1,448.94
  4. Step 4: Simplify right side
    3,205.99x = 6,962,489.96
  5. Step 5: Solve for x
    x = 6,962,489.96/3,205.99
  6. Step 6: Final answer
    x = 2,171.71

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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.