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Finding the Fourth Proportional to 2,576.16, 3,858.48 and 1,599.48

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Solution

The fourth proportional to 2,576.16, 3,858.48 and 1,599.48 is: 2,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.16 : 3,858.48 = 1,599.48 : x
  2. Step 2: Convert to fraction form
    2,576.16/3,858.48 = 1,599.48/x
  3. Step 3: Cross multiply
    2,576.16x = 3,858.48 × 1,599.48
  4. Step 4: Simplify right side
    2,576.16x = 6,171,561.59
  5. Step 5: Solve for x
    x = 6,171,561.59/2,576.16
  6. Step 6: Final answer
    x = 2,395.64

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