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Finding the Fourth Proportional to 1,892.12, 2,840.54 and 1,278.54

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Solution

The fourth proportional to 1,892.12, 2,840.54 and 1,278.54 is: 1,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.12 : 2,840.54 = 1,278.54 : x
  2. Step 2: Convert to fraction form
    1,892.12/2,840.54 = 1,278.54/x
  3. Step 3: Cross multiply
    1,892.12x = 2,840.54 × 1,278.54
  4. Step 4: Simplify right side
    1,892.12x = 3,631,744.01
  5. Step 5: Solve for x
    x = 3,631,744.01/1,892.12
  6. Step 6: Final answer
    x = 1,919.40

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