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Finding the Fourth Proportional to 2,372.67, 3,577.02 and 2,231.73

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Solution

The fourth proportional to 2,372.67, 3,577.02 and 2,231.73 is: 3,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.67 : 3,577.02 = 2,231.73 : x
  2. Step 2: Convert to fraction form
    2,372.67/3,577.02 = 2,231.73/x
  3. Step 3: Cross multiply
    2,372.67x = 3,577.02 × 2,231.73
  4. Step 4: Simplify right side
    2,372.67x = 7,982,942.84
  5. Step 5: Solve for x
    x = 7,982,942.84/2,372.67
  6. Step 6: Final answer
    x = 3,364.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.