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Finding the Fourth Proportional to 2,144.67, 3,217.01 and 605.67

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Solution

The fourth proportional to 2,144.67, 3,217.01 and 605.67 is: 908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.67 : 3,217.01 = 605.67 : x
  2. Step 2: Convert to fraction form
    2,144.67/3,217.01 = 605.67/x
  3. Step 3: Cross multiply
    2,144.67x = 3,217.01 × 605.67
  4. Step 4: Simplify right side
    2,144.67x = 1,948,443.42
  5. Step 5: Solve for x
    x = 1,948,443.42/2,144.67
  6. Step 6: Final answer
    x = 908.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.