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Finding the Fourth Proportional to 1,976.57, 2,964.34 and 589.55

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Solution

The fourth proportional to 1,976.57, 2,964.34 and 589.55 is: 884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.57 : 2,964.34 = 589.55 : x
  2. Step 2: Convert to fraction form
    1,976.57/2,964.34 = 589.55/x
  3. Step 3: Cross multiply
    1,976.57x = 2,964.34 × 589.55
  4. Step 4: Simplify right side
    1,976.57x = 1,747,610.35
  5. Step 5: Solve for x
    x = 1,747,610.35/1,976.57
  6. Step 6: Final answer
    x = 884.17

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