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Finding the Fourth Proportional to 2,540.96, 3,808.16 and 2,513.44

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Solution

The fourth proportional to 2,540.96, 3,808.16 and 2,513.44 is: 3,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.96 : 3,808.16 = 2,513.44 : x
  2. Step 2: Convert to fraction form
    2,540.96/3,808.16 = 2,513.44/x
  3. Step 3: Cross multiply
    2,540.96x = 3,808.16 × 2,513.44
  4. Step 4: Simplify right side
    2,540.96x = 9,571,581.67
  5. Step 5: Solve for x
    x = 9,571,581.67/2,540.96
  6. Step 6: Final answer
    x = 3,766.92

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