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Finding the Fourth Proportional to 1,987.28, 2,978.48 and 687.24

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Solution

The fourth proportional to 1,987.28, 2,978.48 and 687.24 is: 1,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.28 : 2,978.48 = 687.24 : x
  2. Step 2: Convert to fraction form
    1,987.28/2,978.48 = 687.24/x
  3. Step 3: Cross multiply
    1,987.28x = 2,978.48 × 687.24
  4. Step 4: Simplify right side
    1,987.28x = 2,046,930.60
  5. Step 5: Solve for x
    x = 2,046,930.60/1,987.28
  6. Step 6: Final answer
    x = 1,030.02

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