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Finding the Fourth Proportional to 1,987.52, 2,978.24 and 1,335.84

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Solution

The fourth proportional to 1,987.52, 2,978.24 and 1,335.84 is: 2,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.52 : 2,978.24 = 1,335.84 : x
  2. Step 2: Convert to fraction form
    1,987.52/2,978.24 = 1,335.84/x
  3. Step 3: Cross multiply
    1,987.52x = 2,978.24 × 1,335.84
  4. Step 4: Simplify right side
    1,987.52x = 3,978,452.12
  5. Step 5: Solve for x
    x = 3,978,452.12/1,987.52
  6. Step 6: Final answer
    x = 2,001.72

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