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Finding the Fourth Proportional to 1,987.30, 2,978.49 and 687.25

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Solution

The fourth proportional to 1,987.30, 2,978.49 and 687.25 is: 1,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.30 : 2,978.49 = 687.25 : x
  2. Step 2: Convert to fraction form
    1,987.30/2,978.49 = 687.25/x
  3. Step 3: Cross multiply
    1,987.30x = 2,978.49 × 687.25
  4. Step 4: Simplify right side
    1,987.30x = 2,046,967.25
  5. Step 5: Solve for x
    x = 2,046,967.25/1,987.30
  6. Step 6: Final answer
    x = 1,030.02

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