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Finding the Fourth Proportional to 1,764.17, 2,434.58 and 978.23

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Solution

The fourth proportional to 1,764.17, 2,434.58 and 978.23 is: 1,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.17 : 2,434.58 = 978.23 : x
  2. Step 2: Convert to fraction form
    1,764.17/2,434.58 = 978.23/x
  3. Step 3: Cross multiply
    1,764.17x = 2,434.58 × 978.23
  4. Step 4: Simplify right side
    1,764.17x = 2,381,574.30
  5. Step 5: Solve for x
    x = 2,381,574.30/1,764.17
  6. Step 6: Final answer
    x = 1,349.97

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