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Finding the Fourth Proportional to 1,978.74, 2,968.12 and 1,004.58

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Solution

The fourth proportional to 1,978.74, 2,968.12 and 1,004.58 is: 1,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.74 : 2,968.12 = 1,004.58 : x
  2. Step 2: Convert to fraction form
    1,978.74/2,968.12 = 1,004.58/x
  3. Step 3: Cross multiply
    1,978.74x = 2,968.12 × 1,004.58
  4. Step 4: Simplify right side
    1,978.74x = 2,981,713.99
  5. Step 5: Solve for x
    x = 2,981,713.99/1,978.74
  6. Step 6: Final answer
    x = 1,506.88

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