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Finding the Fourth Proportional to 2,809.74, 4,214.79 and 1,166.42

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Solution

The fourth proportional to 2,809.74, 4,214.79 and 1,166.42 is: 1,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.74 : 4,214.79 = 1,166.42 : x
  2. Step 2: Convert to fraction form
    2,809.74/4,214.79 = 1,166.42/x
  3. Step 3: Cross multiply
    2,809.74x = 4,214.79 × 1,166.42
  4. Step 4: Simplify right side
    2,809.74x = 4,916,194.28
  5. Step 5: Solve for x
    x = 4,916,194.28/2,809.74
  6. Step 6: Final answer
    x = 1,749.70

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