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Finding the Fourth Proportional to 2,562.58, 3,840.24 and 1,021.78

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Solution

The fourth proportional to 2,562.58, 3,840.24 and 1,021.78 is: 1,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.58 : 3,840.24 = 1,021.78 : x
  2. Step 2: Convert to fraction form
    2,562.58/3,840.24 = 1,021.78/x
  3. Step 3: Cross multiply
    2,562.58x = 3,840.24 × 1,021.78
  4. Step 4: Simplify right side
    2,562.58x = 3,923,880.43
  5. Step 5: Solve for x
    x = 3,923,880.43/2,562.58
  6. Step 6: Final answer
    x = 1,531.22

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