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Finding the Fourth Proportional to 1,764.14, 2,434.52 and 978.17

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Solution

The fourth proportional to 1,764.14, 2,434.52 and 978.17 is: 1,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.14 : 2,434.52 = 978.17 : x
  2. Step 2: Convert to fraction form
    1,764.14/2,434.52 = 978.17/x
  3. Step 3: Cross multiply
    1,764.14x = 2,434.52 × 978.17
  4. Step 4: Simplify right side
    1,764.14x = 2,381,364.70
  5. Step 5: Solve for x
    x = 2,381,364.70/1,764.14
  6. Step 6: Final answer
    x = 1,349.88

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