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Finding the Fourth Proportional to 2,144.89, 3,217.89 and 605.89

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Solution

The fourth proportional to 2,144.89, 3,217.89 and 605.89 is: 908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.89 : 3,217.89 = 605.89 : x
  2. Step 2: Convert to fraction form
    2,144.89/3,217.89 = 605.89/x
  3. Step 3: Cross multiply
    2,144.89x = 3,217.89 × 605.89
  4. Step 4: Simplify right side
    2,144.89x = 1,949,687.37
  5. Step 5: Solve for x
    x = 1,949,687.37/2,144.89
  6. Step 6: Final answer
    x = 908.99

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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.