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Finding the Fourth Proportional to 1,972.92, 2,957.76 and 1,107.12

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Solution

The fourth proportional to 1,972.92, 2,957.76 and 1,107.12 is: 1,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.92 : 2,957.76 = 1,107.12 : x
  2. Step 2: Convert to fraction form
    1,972.92/2,957.76 = 1,107.12/x
  3. Step 3: Cross multiply
    1,972.92x = 2,957.76 × 1,107.12
  4. Step 4: Simplify right side
    1,972.92x = 3,274,595.25
  5. Step 5: Solve for x
    x = 3,274,595.25/1,972.92
  6. Step 6: Final answer
    x = 1,659.77

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