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Finding the Fourth Proportional to 1,946.75, 2,919.78 and 906.57

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Solution

The fourth proportional to 1,946.75, 2,919.78 and 906.57 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.75 : 2,919.78 = 906.57 : x
  2. Step 2: Convert to fraction form
    1,946.75/2,919.78 = 906.57/x
  3. Step 3: Cross multiply
    1,946.75x = 2,919.78 × 906.57
  4. Step 4: Simplify right side
    1,946.75x = 2,646,984.95
  5. Step 5: Solve for x
    x = 2,646,984.95/1,946.75
  6. Step 6: Final answer
    x = 1,359.70

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