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Finding the Fourth Proportional to 2,877.16, 3,967.62 and 1,829.80

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Solution

The fourth proportional to 2,877.16, 3,967.62 and 1,829.80 is: 2,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.16 : 3,967.62 = 1,829.80 : x
  2. Step 2: Convert to fraction form
    2,877.16/3,967.62 = 1,829.80/x
  3. Step 3: Cross multiply
    2,877.16x = 3,967.62 × 1,829.80
  4. Step 4: Simplify right side
    2,877.16x = 7,259,951.08
  5. Step 5: Solve for x
    x = 7,259,951.08/2,877.16
  6. Step 6: Final answer
    x = 2,523.30

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