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Finding the Fourth Proportional to 2,774.52, 3,827.25 and 1,978.02

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Solution

The fourth proportional to 2,774.52, 3,827.25 and 1,978.02 is: 2,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.52 : 3,827.25 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    2,774.52/3,827.25 = 1,978.02/x
  3. Step 3: Cross multiply
    2,774.52x = 3,827.25 × 1,978.02
  4. Step 4: Simplify right side
    2,774.52x = 7,570,377.05
  5. Step 5: Solve for x
    x = 7,570,377.05/2,774.52
  6. Step 6: Final answer
    x = 2,728.54

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