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Finding the Fourth Proportional to 2,565.73, 3,844.77 and 2,106.73

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Solution

The fourth proportional to 2,565.73, 3,844.77 and 2,106.73 is: 3,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.73 : 3,844.77 = 2,106.73 : x
  2. Step 2: Convert to fraction form
    2,565.73/3,844.77 = 2,106.73/x
  3. Step 3: Cross multiply
    2,565.73x = 3,844.77 × 2,106.73
  4. Step 4: Simplify right side
    2,565.73x = 8,099,892.30
  5. Step 5: Solve for x
    x = 8,099,892.30/2,565.73
  6. Step 6: Final answer
    x = 3,156.95

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