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Finding the Fourth Proportional to 2,576.53, 3,869.97 and 1,538.56

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Solution

The fourth proportional to 2,576.53, 3,869.97 and 1,538.56 is: 2,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.53 : 3,869.97 = 1,538.56 : x
  2. Step 2: Convert to fraction form
    2,576.53/3,869.97 = 1,538.56/x
  3. Step 3: Cross multiply
    2,576.53x = 3,869.97 × 1,538.56
  4. Step 4: Simplify right side
    2,576.53x = 5,954,181.04
  5. Step 5: Solve for x
    x = 5,954,181.04/2,576.53
  6. Step 6: Final answer
    x = 2,310.93

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