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Finding the Fourth Proportional to 2,509.87, 3,761.82 and 1,891.54

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Solution

The fourth proportional to 2,509.87, 3,761.82 and 1,891.54 is: 2,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.87 : 3,761.82 = 1,891.54 : x
  2. Step 2: Convert to fraction form
    2,509.87/3,761.82 = 1,891.54/x
  3. Step 3: Cross multiply
    2,509.87x = 3,761.82 × 1,891.54
  4. Step 4: Simplify right side
    2,509.87x = 7,115,623.60
  5. Step 5: Solve for x
    x = 7,115,623.60/2,509.87
  6. Step 6: Final answer
    x = 2,835.06

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