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Finding the Fourth Proportional to 2,538.92, 3,808.50 and 2,400.38

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Solution

The fourth proportional to 2,538.92, 3,808.50 and 2,400.38 is: 3,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.92 : 3,808.50 = 2,400.38 : x
  2. Step 2: Convert to fraction form
    2,538.92/3,808.50 = 2,400.38/x
  3. Step 3: Cross multiply
    2,538.92x = 3,808.50 × 2,400.38
  4. Step 4: Simplify right side
    2,538.92x = 9,141,847.23
  5. Step 5: Solve for x
    x = 9,141,847.23/2,538.92
  6. Step 6: Final answer
    x = 3,600.68

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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.