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Finding the Fourth Proportional to 1,978.34, 2,967.24 and 517.46

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Solution

The fourth proportional to 1,978.34, 2,967.24 and 517.46 is: 776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.34 : 2,967.24 = 517.46 : x
  2. Step 2: Convert to fraction form
    1,978.34/2,967.24 = 517.46/x
  3. Step 3: Cross multiply
    1,978.34x = 2,967.24 × 517.46
  4. Step 4: Simplify right side
    1,978.34x = 1,535,428.01
  5. Step 5: Solve for x
    x = 1,535,428.01/1,978.34
  6. Step 6: Final answer
    x = 776.12

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