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Finding the Fourth Proportional to 1,769.30, 2,647.65 and 1,540.70

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Solution

The fourth proportional to 1,769.30, 2,647.65 and 1,540.70 is: 2,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.30 : 2,647.65 = 1,540.70 : x
  2. Step 2: Convert to fraction form
    1,769.30/2,647.65 = 1,540.70/x
  3. Step 3: Cross multiply
    1,769.30x = 2,647.65 × 1,540.70
  4. Step 4: Simplify right side
    1,769.30x = 4,079,234.36
  5. Step 5: Solve for x
    x = 4,079,234.36/1,769.30
  6. Step 6: Final answer
    x = 2,305.56

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