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Finding the Fourth Proportional to 1,426.91, 1,969.47 and 978.57

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Solution

The fourth proportional to 1,426.91, 1,969.47 and 978.57 is: 1,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.91 : 1,969.47 = 978.57 : x
  2. Step 2: Convert to fraction form
    1,426.91/1,969.47 = 978.57/x
  3. Step 3: Cross multiply
    1,426.91x = 1,969.47 × 978.57
  4. Step 4: Simplify right side
    1,426.91x = 1,927,264.26
  5. Step 5: Solve for x
    x = 1,927,264.26/1,426.91
  6. Step 6: Final answer
    x = 1,350.66

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