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Finding the Fourth Proportional to 2,074.34, 3,110.42 and 978.41

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Solution

The fourth proportional to 2,074.34, 3,110.42 and 978.41 is: 1,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.34 : 3,110.42 = 978.41 : x
  2. Step 2: Convert to fraction form
    2,074.34/3,110.42 = 978.41/x
  3. Step 3: Cross multiply
    2,074.34x = 3,110.42 × 978.41
  4. Step 4: Simplify right side
    2,074.34x = 3,043,252.93
  5. Step 5: Solve for x
    x = 3,043,252.93/2,074.34
  6. Step 6: Final answer
    x = 1,467.10

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