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Finding the Fourth Proportional to 2,747.76, 4,122.82 and 1,823.64

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Solution

The fourth proportional to 2,747.76, 4,122.82 and 1,823.64 is: 2,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.76 : 4,122.82 = 1,823.64 : x
  2. Step 2: Convert to fraction form
    2,747.76/4,122.82 = 1,823.64/x
  3. Step 3: Cross multiply
    2,747.76x = 4,122.82 × 1,823.64
  4. Step 4: Simplify right side
    2,747.76x = 7,518,539.46
  5. Step 5: Solve for x
    x = 7,518,539.46/2,747.76
  6. Step 6: Final answer
    x = 2,736.24

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