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Finding the Fourth Proportional to 2,238.67, 3,357.33 and 1,549.78

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Solution

The fourth proportional to 2,238.67, 3,357.33 and 1,549.78 is: 2,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.67 : 3,357.33 = 1,549.78 : x
  2. Step 2: Convert to fraction form
    2,238.67/3,357.33 = 1,549.78/x
  3. Step 3: Cross multiply
    2,238.67x = 3,357.33 × 1,549.78
  4. Step 4: Simplify right side
    2,238.67x = 5,203,122.89
  5. Step 5: Solve for x
    x = 5,203,122.89/2,238.67
  6. Step 6: Final answer
    x = 2,324.20

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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.