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Finding the Fourth Proportional to 2,648.24, 3,972.03 and 1,538.27

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Solution

The fourth proportional to 2,648.24, 3,972.03 and 1,538.27 is: 2,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.24 : 3,972.03 = 1,538.27 : x
  2. Step 2: Convert to fraction form
    2,648.24/3,972.03 = 1,538.27/x
  3. Step 3: Cross multiply
    2,648.24x = 3,972.03 × 1,538.27
  4. Step 4: Simplify right side
    2,648.24x = 6,110,034.73
  5. Step 5: Solve for x
    x = 6,110,034.73/2,648.24
  6. Step 6: Final answer
    x = 2,307.21

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