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Finding the Fourth Proportional to 1,764.18, 2,434.59 and 978.24

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Solution

The fourth proportional to 1,764.18, 2,434.59 and 978.24 is: 1,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.18 : 2,434.59 = 978.24 : x
  2. Step 2: Convert to fraction form
    1,764.18/2,434.59 = 978.24/x
  3. Step 3: Cross multiply
    1,764.18x = 2,434.59 × 978.24
  4. Step 4: Simplify right side
    1,764.18x = 2,381,613.32
  5. Step 5: Solve for x
    x = 2,381,613.32/1,764.18
  6. Step 6: Final answer
    x = 1,349.98

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