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Finding the Fourth Proportional to 1,569.59, 2,355.60 and 839.78

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Solution

The fourth proportional to 1,569.59, 2,355.60 and 839.78 is: 1,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.59 : 2,355.60 = 839.78 : x
  2. Step 2: Convert to fraction form
    1,569.59/2,355.60 = 839.78/x
  3. Step 3: Cross multiply
    1,569.59x = 2,355.60 × 839.78
  4. Step 4: Simplify right side
    1,569.59x = 1,978,185.77
  5. Step 5: Solve for x
    x = 1,978,185.77/1,569.59
  6. Step 6: Final answer
    x = 1,260.32

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