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Finding the Fourth Proportional to 1,976.61, 2,964.66 and 922.80

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Solution

The fourth proportional to 1,976.61, 2,964.66 and 922.80 is: 1,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.61 : 2,964.66 = 922.80 : x
  2. Step 2: Convert to fraction form
    1,976.61/2,964.66 = 922.80/x
  3. Step 3: Cross multiply
    1,976.61x = 2,964.66 × 922.80
  4. Step 4: Simplify right side
    1,976.61x = 2,735,788.25
  5. Step 5: Solve for x
    x = 2,735,788.25/1,976.61
  6. Step 6: Final answer
    x = 1,384.08

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