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Finding the Fourth Proportional to 2,720.10, 4,074.48 and 2,256.78

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Solution

The fourth proportional to 2,720.10, 4,074.48 and 2,256.78 is: 3,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.10 : 4,074.48 = 2,256.78 : x
  2. Step 2: Convert to fraction form
    2,720.10/4,074.48 = 2,256.78/x
  3. Step 3: Cross multiply
    2,720.10x = 4,074.48 × 2,256.78
  4. Step 4: Simplify right side
    2,720.10x = 9,195,204.97
  5. Step 5: Solve for x
    x = 9,195,204.97/2,720.10
  6. Step 6: Final answer
    x = 3,380.47

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