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Finding the Fourth Proportional to 2,840.86, 3,919.27 and 2,096.61

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Solution

The fourth proportional to 2,840.86, 3,919.27 and 2,096.61 is: 2,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.86 : 3,919.27 = 2,096.61 : x
  2. Step 2: Convert to fraction form
    2,840.86/3,919.27 = 2,096.61/x
  3. Step 3: Cross multiply
    2,840.86x = 3,919.27 × 2,096.61
  4. Step 4: Simplify right side
    2,840.86x = 8,217,180.67
  5. Step 5: Solve for x
    x = 8,217,180.67/2,840.86
  6. Step 6: Final answer
    x = 2,892.50

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