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Finding the Fourth Proportional to 1,901.84, 2,851.66 and 1,023.24

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Solution

The fourth proportional to 1,901.84, 2,851.66 and 1,023.24 is: 1,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.84 : 2,851.66 = 1,023.24 : x
  2. Step 2: Convert to fraction form
    1,901.84/2,851.66 = 1,023.24/x
  3. Step 3: Cross multiply
    1,901.84x = 2,851.66 × 1,023.24
  4. Step 4: Simplify right side
    1,901.84x = 2,917,932.58
  5. Step 5: Solve for x
    x = 2,917,932.58/1,901.84
  6. Step 6: Final answer
    x = 1,534.27

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