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Finding the Fourth Proportional to 2,563.82, 3,846.94 and 1,525.88

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Solution

The fourth proportional to 2,563.82, 3,846.94 and 1,525.88 is: 2,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.82 : 3,846.94 = 1,525.88 : x
  2. Step 2: Convert to fraction form
    2,563.82/3,846.94 = 1,525.88/x
  3. Step 3: Cross multiply
    2,563.82x = 3,846.94 × 1,525.88
  4. Step 4: Simplify right side
    2,563.82x = 5,869,968.81
  5. Step 5: Solve for x
    x = 5,869,968.81/2,563.82
  6. Step 6: Final answer
    x = 2,289.54

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