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Finding the Fourth Proportional to 2,652.52, 3,978.64 and 1,092.14

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Solution

The fourth proportional to 2,652.52, 3,978.64 and 1,092.14 is: 1,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.52 : 3,978.64 = 1,092.14 : x
  2. Step 2: Convert to fraction form
    2,652.52/3,978.64 = 1,092.14/x
  3. Step 3: Cross multiply
    2,652.52x = 3,978.64 × 1,092.14
  4. Step 4: Simplify right side
    2,652.52x = 4,345,231.89
  5. Step 5: Solve for x
    x = 4,345,231.89/2,652.52
  6. Step 6: Final answer
    x = 1,638.15

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