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Finding the Fourth Proportional to 2,110.74, 3,166.08 and 649.87

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Solution

The fourth proportional to 2,110.74, 3,166.08 and 649.87 is: 974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.74 : 3,166.08 = 649.87 : x
  2. Step 2: Convert to fraction form
    2,110.74/3,166.08 = 649.87/x
  3. Step 3: Cross multiply
    2,110.74x = 3,166.08 × 649.87
  4. Step 4: Simplify right side
    2,110.74x = 2,057,540.41
  5. Step 5: Solve for x
    x = 2,057,540.41/2,110.74
  6. Step 6: Final answer
    x = 974.80

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