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Finding the Fourth Proportional to 1,859.82, 2,566.56 and 1,020.60

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Solution

The fourth proportional to 1,859.82, 2,566.56 and 1,020.60 is: 1,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.82 : 2,566.56 = 1,020.60 : x
  2. Step 2: Convert to fraction form
    1,859.82/2,566.56 = 1,020.60/x
  3. Step 3: Cross multiply
    1,859.82x = 2,566.56 × 1,020.60
  4. Step 4: Simplify right side
    1,859.82x = 2,619,431.14
  5. Step 5: Solve for x
    x = 2,619,431.14/1,859.82
  6. Step 6: Final answer
    x = 1,408.43

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