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Finding the Fourth Proportional to 2,538.99, 3,786.84 and 2,151.54

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Solution

The fourth proportional to 2,538.99, 3,786.84 and 2,151.54 is: 3,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.99 : 3,786.84 = 2,151.54 : x
  2. Step 2: Convert to fraction form
    2,538.99/3,786.84 = 2,151.54/x
  3. Step 3: Cross multiply
    2,538.99x = 3,786.84 × 2,151.54
  4. Step 4: Simplify right side
    2,538.99x = 8,147,537.73
  5. Step 5: Solve for x
    x = 8,147,537.73/2,538.99
  6. Step 6: Final answer
    x = 3,208.97

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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.