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Finding the Fourth Proportional to 1,581.28, 2,370.75 and 758.77

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Solution

The fourth proportional to 1,581.28, 2,370.75 and 758.77 is: 1,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.28 : 2,370.75 = 758.77 : x
  2. Step 2: Convert to fraction form
    1,581.28/2,370.75 = 758.77/x
  3. Step 3: Cross multiply
    1,581.28x = 2,370.75 × 758.77
  4. Step 4: Simplify right side
    1,581.28x = 1,798,853.98
  5. Step 5: Solve for x
    x = 1,798,853.98/1,581.28
  6. Step 6: Final answer
    x = 1,137.59

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