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Finding the Fourth Proportional to 2,656.25, 3,984.96 and 1,012.80

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Solution

The fourth proportional to 2,656.25, 3,984.96 and 1,012.80 is: 1,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.25 : 3,984.96 = 1,012.80 : x
  2. Step 2: Convert to fraction form
    2,656.25/3,984.96 = 1,012.80/x
  3. Step 3: Cross multiply
    2,656.25x = 3,984.96 × 1,012.80
  4. Step 4: Simplify right side
    2,656.25x = 4,035,967.49
  5. Step 5: Solve for x
    x = 4,035,967.49/2,656.25
  6. Step 6: Final answer
    x = 1,519.43

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