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Finding the Fourth Proportional to 2,648.55, 3,972.91 and 1,005.21

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Solution

The fourth proportional to 2,648.55, 3,972.91 and 1,005.21 is: 1,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.55 : 3,972.91 = 1,005.21 : x
  2. Step 2: Convert to fraction form
    2,648.55/3,972.91 = 1,005.21/x
  3. Step 3: Cross multiply
    2,648.55x = 3,972.91 × 1,005.21
  4. Step 4: Simplify right side
    2,648.55x = 3,993,608.86
  5. Step 5: Solve for x
    x = 3,993,608.86/2,648.55
  6. Step 6: Final answer
    x = 1,507.85

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