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Finding the Fourth Proportional to 2,314.13, 3,471.26 and 1,769.67

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Solution

The fourth proportional to 2,314.13, 3,471.26 and 1,769.67 is: 2,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.13 : 3,471.26 = 1,769.67 : x
  2. Step 2: Convert to fraction form
    2,314.13/3,471.26 = 1,769.67/x
  3. Step 3: Cross multiply
    2,314.13x = 3,471.26 × 1,769.67
  4. Step 4: Simplify right side
    2,314.13x = 6,142,975.84
  5. Step 5: Solve for x
    x = 6,142,975.84/2,314.13
  6. Step 6: Final answer
    x = 2,654.56

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