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Finding the Fourth Proportional to 1,456.23, 2,008.20 and 978.76

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Solution

The fourth proportional to 1,456.23, 2,008.20 and 978.76 is: 1,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.23 : 2,008.20 = 978.76 : x
  2. Step 2: Convert to fraction form
    1,456.23/2,008.20 = 978.76/x
  3. Step 3: Cross multiply
    1,456.23x = 2,008.20 × 978.76
  4. Step 4: Simplify right side
    1,456.23x = 1,965,552.01
  5. Step 5: Solve for x
    x = 1,965,552.01/1,456.23
  6. Step 6: Final answer
    x = 1,349.76

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