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Finding the Fourth Proportional to 2,548.23, 3,822.35 and 2,052.32

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Solution

The fourth proportional to 2,548.23, 3,822.35 and 2,052.32 is: 3,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.23 : 3,822.35 = 2,052.32 : x
  2. Step 2: Convert to fraction form
    2,548.23/3,822.35 = 2,052.32/x
  3. Step 3: Cross multiply
    2,548.23x = 3,822.35 × 2,052.32
  4. Step 4: Simplify right side
    2,548.23x = 7,844,663.67
  5. Step 5: Solve for x
    x = 7,844,663.67/2,548.23
  6. Step 6: Final answer
    x = 3,078.48

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