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Finding the Fourth Proportional to 2,584.46, 3,877.97 and 1,024.43

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Solution

The fourth proportional to 2,584.46, 3,877.97 and 1,024.43 is: 1,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.46 : 3,877.97 = 1,024.43 : x
  2. Step 2: Convert to fraction form
    2,584.46/3,877.97 = 1,024.43/x
  3. Step 3: Cross multiply
    2,584.46x = 3,877.97 × 1,024.43
  4. Step 4: Simplify right side
    2,584.46x = 3,972,711.37
  5. Step 5: Solve for x
    x = 3,972,711.37/2,584.46
  6. Step 6: Final answer
    x = 1,537.15

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