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Finding the Fourth Proportional to 1,648.72, 2,470.34 and 1,160.75

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Solution

The fourth proportional to 1,648.72, 2,470.34 and 1,160.75 is: 1,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.72 : 2,470.34 = 1,160.75 : x
  2. Step 2: Convert to fraction form
    1,648.72/2,470.34 = 1,160.75/x
  3. Step 3: Cross multiply
    1,648.72x = 2,470.34 × 1,160.75
  4. Step 4: Simplify right side
    1,648.72x = 2,867,434.80
  5. Step 5: Solve for x
    x = 2,867,434.80/1,648.72
  6. Step 6: Final answer
    x = 1,739.19

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