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Finding the Fourth Proportional to 1,987.86, 2,983.59 and 1,660.83

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Solution

The fourth proportional to 1,987.86, 2,983.59 and 1,660.83 is: 2,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.86 : 2,983.59 = 1,660.83 : x
  2. Step 2: Convert to fraction form
    1,987.86/2,983.59 = 1,660.83/x
  3. Step 3: Cross multiply
    1,987.86x = 2,983.59 × 1,660.83
  4. Step 4: Simplify right side
    1,987.86x = 4,955,235.78
  5. Step 5: Solve for x
    x = 4,955,235.78/1,987.86
  6. Step 6: Final answer
    x = 2,492.75

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