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Finding the Fourth Proportional to 2,584.59, 3,873.80 and 1,800.35

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Solution

The fourth proportional to 2,584.59, 3,873.80 and 1,800.35 is: 2,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.59 : 3,873.80 = 1,800.35 : x
  2. Step 2: Convert to fraction form
    2,584.59/3,873.80 = 1,800.35/x
  3. Step 3: Cross multiply
    2,584.59x = 3,873.80 × 1,800.35
  4. Step 4: Simplify right side
    2,584.59x = 6,974,180.96
  5. Step 5: Solve for x
    x = 6,974,180.96/2,584.59
  6. Step 6: Final answer
    x = 2,698.37

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