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Finding the Fourth Proportional to 2,441.72, 3,644.87 and 2,270.82

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Solution

The fourth proportional to 2,441.72, 3,644.87 and 2,270.82 is: 3,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.72 : 3,644.87 = 2,270.82 : x
  2. Step 2: Convert to fraction form
    2,441.72/3,644.87 = 2,270.82/x
  3. Step 3: Cross multiply
    2,441.72x = 3,644.87 × 2,270.82
  4. Step 4: Simplify right side
    2,441.72x = 8,276,843.69
  5. Step 5: Solve for x
    x = 8,276,843.69/2,441.72
  6. Step 6: Final answer
    x = 3,389.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.