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Finding the Fourth Proportional to 1,978.26, 2,966.82 and 1,145.58

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Solution

The fourth proportional to 1,978.26, 2,966.82 and 1,145.58 is: 1,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.26 : 2,966.82 = 1,145.58 : x
  2. Step 2: Convert to fraction form
    1,978.26/2,966.82 = 1,145.58/x
  3. Step 3: Cross multiply
    1,978.26x = 2,966.82 × 1,145.58
  4. Step 4: Simplify right side
    1,978.26x = 3,398,729.66
  5. Step 5: Solve for x
    x = 3,398,729.66/1,978.26
  6. Step 6: Final answer
    x = 1,718.04

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