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Finding the Fourth Proportional to 2,584.07, 3,878.07 and 1,892.53

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Solution

The fourth proportional to 2,584.07, 3,878.07 and 1,892.53 is: 2,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.07 : 3,878.07 = 1,892.53 : x
  2. Step 2: Convert to fraction form
    2,584.07/3,878.07 = 1,892.53/x
  3. Step 3: Cross multiply
    2,584.07x = 3,878.07 × 1,892.53
  4. Step 4: Simplify right side
    2,584.07x = 7,339,363.82
  5. Step 5: Solve for x
    x = 7,339,363.82/2,584.07
  6. Step 6: Final answer
    x = 2,840.23

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