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Finding the Fourth Proportional to 1,904.24, 2,854.41 and 1,080.78

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Solution

The fourth proportional to 1,904.24, 2,854.41 and 1,080.78 is: 1,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.24 : 2,854.41 = 1,080.78 : x
  2. Step 2: Convert to fraction form
    1,904.24/2,854.41 = 1,080.78/x
  3. Step 3: Cross multiply
    1,904.24x = 2,854.41 × 1,080.78
  4. Step 4: Simplify right side
    1,904.24x = 3,084,983.60
  5. Step 5: Solve for x
    x = 3,084,983.60/1,904.24
  6. Step 6: Final answer
    x = 1,620.06

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