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Finding the Fourth Proportional to 1,502.75, 2,073.90 and 978.78

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Solution

The fourth proportional to 1,502.75, 2,073.90 and 978.78 is: 1,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.75 : 2,073.90 = 978.78 : x
  2. Step 2: Convert to fraction form
    1,502.75/2,073.90 = 978.78/x
  3. Step 3: Cross multiply
    1,502.75x = 2,073.90 × 978.78
  4. Step 4: Simplify right side
    1,502.75x = 2,029,903.29
  5. Step 5: Solve for x
    x = 2,029,903.29/1,502.75
  6. Step 6: Final answer
    x = 1,350.79

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