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Finding the Fourth Proportional to 1,581.44, 2,369.76 and 1,002.56

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Solution

The fourth proportional to 1,581.44, 2,369.76 and 1,002.56 is: 1,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.44 : 2,369.76 = 1,002.56 : x
  2. Step 2: Convert to fraction form
    1,581.44/2,369.76 = 1,002.56/x
  3. Step 3: Cross multiply
    1,581.44x = 2,369.76 × 1,002.56
  4. Step 4: Simplify right side
    1,581.44x = 2,375,826.59
  5. Step 5: Solve for x
    x = 2,375,826.59/1,581.44
  6. Step 6: Final answer
    x = 1,502.32

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