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Finding the Fourth Proportional to 1,764.06, 2,434.41 and 978.18

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Solution

The fourth proportional to 1,764.06, 2,434.41 and 978.18 is: 1,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.06 : 2,434.41 = 978.18 : x
  2. Step 2: Convert to fraction form
    1,764.06/2,434.41 = 978.18/x
  3. Step 3: Cross multiply
    1,764.06x = 2,434.41 × 978.18
  4. Step 4: Simplify right side
    1,764.06x = 2,381,291.17
  5. Step 5: Solve for x
    x = 2,381,291.17/1,764.06
  6. Step 6: Final answer
    x = 1,349.89

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