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Finding the Fourth Proportional to 2,677.64, 4,009.47 and 2,154.78

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Solution

The fourth proportional to 2,677.64, 4,009.47 and 2,154.78 is: 3,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.64 : 4,009.47 = 2,154.78 : x
  2. Step 2: Convert to fraction form
    2,677.64/4,009.47 = 2,154.78/x
  3. Step 3: Cross multiply
    2,677.64x = 4,009.47 × 2,154.78
  4. Step 4: Simplify right side
    2,677.64x = 8,639,517.69
  5. Step 5: Solve for x
    x = 8,639,517.69/2,677.64
  6. Step 6: Final answer
    x = 3,226.55

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