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Finding the Fourth Proportional to 2,557.81, 3,836.78 and 1,912.64

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Solution

The fourth proportional to 2,557.81, 3,836.78 and 1,912.64 is: 2,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.81 : 3,836.78 = 1,912.64 : x
  2. Step 2: Convert to fraction form
    2,557.81/3,836.78 = 1,912.64/x
  3. Step 3: Cross multiply
    2,557.81x = 3,836.78 × 1,912.64
  4. Step 4: Simplify right side
    2,557.81x = 7,338,369.34
  5. Step 5: Solve for x
    x = 7,338,369.34/2,557.81
  6. Step 6: Final answer
    x = 2,869.01

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