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Finding the Fourth Proportional to 1,946.61, 2,919.30 and 776.28

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Solution

The fourth proportional to 1,946.61, 2,919.30 and 776.28 is: 1,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.61 : 2,919.30 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,946.61/2,919.30 = 776.28/x
  3. Step 3: Cross multiply
    1,946.61x = 2,919.30 × 776.28
  4. Step 4: Simplify right side
    1,946.61x = 2,266,194.20
  5. Step 5: Solve for x
    x = 2,266,194.20/1,946.61
  6. Step 6: Final answer
    x = 1,164.17

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