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Finding the Fourth Proportional to 2,679.89, 4,019.76 and 2,537.73

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Solution

The fourth proportional to 2,679.89, 4,019.76 and 2,537.73 is: 3,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.89 : 4,019.76 = 2,537.73 : x
  2. Step 2: Convert to fraction form
    2,679.89/4,019.76 = 2,537.73/x
  3. Step 3: Cross multiply
    2,679.89x = 4,019.76 × 2,537.73
  4. Step 4: Simplify right side
    2,679.89x = 10,201,065.54
  5. Step 5: Solve for x
    x = 10,201,065.54/2,679.89
  6. Step 6: Final answer
    x = 3,806.53

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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.