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Finding the Fourth Proportional to 1,648.80, 2,470.48 and 1,160.84

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Solution

The fourth proportional to 1,648.80, 2,470.48 and 1,160.84 is: 1,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.80 : 2,470.48 = 1,160.84 : x
  2. Step 2: Convert to fraction form
    1,648.80/2,470.48 = 1,160.84/x
  3. Step 3: Cross multiply
    1,648.80x = 2,470.48 × 1,160.84
  4. Step 4: Simplify right side
    1,648.80x = 2,867,832.00
  5. Step 5: Solve for x
    x = 2,867,832.00/1,648.80
  6. Step 6: Final answer
    x = 1,739.34

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