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Finding the Fourth Proportional to 1,467.72, 2,198.34 and 978.48

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Solution

The fourth proportional to 1,467.72, 2,198.34 and 978.48 is: 1,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.72 : 2,198.34 = 978.48 : x
  2. Step 2: Convert to fraction form
    1,467.72/2,198.34 = 978.48/x
  3. Step 3: Cross multiply
    1,467.72x = 2,198.34 × 978.48
  4. Step 4: Simplify right side
    1,467.72x = 2,151,031.72
  5. Step 5: Solve for x
    x = 2,151,031.72/1,467.72
  6. Step 6: Final answer
    x = 1,465.56

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