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Finding the Fourth Proportional to 1,987.47, 2,978.86 and 816.75

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Solution

The fourth proportional to 1,987.47, 2,978.86 and 816.75 is: 1,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.47 : 2,978.86 = 816.75 : x
  2. Step 2: Convert to fraction form
    1,987.47/2,978.86 = 816.75/x
  3. Step 3: Cross multiply
    1,987.47x = 2,978.86 × 816.75
  4. Step 4: Simplify right side
    1,987.47x = 2,432,983.91
  5. Step 5: Solve for x
    x = 2,432,983.91/1,987.47
  6. Step 6: Final answer
    x = 1,224.16

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