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Finding the Fourth Proportional to 1,568.72, 2,165.28 and 1,256.16

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Solution

The fourth proportional to 1,568.72, 2,165.28 and 1,256.16 is: 1,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.72 : 2,165.28 = 1,256.16 : x
  2. Step 2: Convert to fraction form
    1,568.72/2,165.28 = 1,256.16/x
  3. Step 3: Cross multiply
    1,568.72x = 2,165.28 × 1,256.16
  4. Step 4: Simplify right side
    1,568.72x = 2,719,936.42
  5. Step 5: Solve for x
    x = 2,719,936.42/1,568.72
  6. Step 6: Final answer
    x = 1,733.86

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