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Finding the Fourth Proportional to 2,110.48, 3,166.20 and 649.78

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Solution

The fourth proportional to 2,110.48, 3,166.20 and 649.78 is: 974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.48 : 3,166.20 = 649.78 : x
  2. Step 2: Convert to fraction form
    2,110.48/3,166.20 = 649.78/x
  3. Step 3: Cross multiply
    2,110.48x = 3,166.20 × 649.78
  4. Step 4: Simplify right side
    2,110.48x = 2,057,333.44
  5. Step 5: Solve for x
    x = 2,057,333.44/2,110.48
  6. Step 6: Final answer
    x = 974.82

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