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Finding the Fourth Proportional to 2,546.84, 3,821.52 and 1,879.76

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Solution

The fourth proportional to 2,546.84, 3,821.52 and 1,879.76 is: 2,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.84 : 3,821.52 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    2,546.84/3,821.52 = 1,879.76/x
  3. Step 3: Cross multiply
    2,546.84x = 3,821.52 × 1,879.76
  4. Step 4: Simplify right side
    2,546.84x = 7,183,540.44
  5. Step 5: Solve for x
    x = 7,183,540.44/2,546.84
  6. Step 6: Final answer
    x = 2,820.57

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