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Finding the Fourth Proportional to 1,646.80, 2,470.44 and 1,072.24

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Solution

The fourth proportional to 1,646.80, 2,470.44 and 1,072.24 is: 1,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.80 : 2,470.44 = 1,072.24 : x
  2. Step 2: Convert to fraction form
    1,646.80/2,470.44 = 1,072.24/x
  3. Step 3: Cross multiply
    1,646.80x = 2,470.44 × 1,072.24
  4. Step 4: Simplify right side
    1,646.80x = 2,648,904.59
  5. Step 5: Solve for x
    x = 2,648,904.59/1,646.80
  6. Step 6: Final answer
    x = 1,608.52

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