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Finding the Fourth Proportional to 2,653.76, 3,982.20 and 1,192.96

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Solution

The fourth proportional to 2,653.76, 3,982.20 and 1,192.96 is: 1,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.76 : 3,982.20 = 1,192.96 : x
  2. Step 2: Convert to fraction form
    2,653.76/3,982.20 = 1,192.96/x
  3. Step 3: Cross multiply
    2,653.76x = 3,982.20 × 1,192.96
  4. Step 4: Simplify right side
    2,653.76x = 4,750,605.31
  5. Step 5: Solve for x
    x = 4,750,605.31/2,653.76
  6. Step 6: Final answer
    x = 1,790.14

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