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Finding the Fourth Proportional to 2,099.76, 3,143.16 and 1,788.72

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Solution

The fourth proportional to 2,099.76, 3,143.16 and 1,788.72 is: 2,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.76 : 3,143.16 = 1,788.72 : x
  2. Step 2: Convert to fraction form
    2,099.76/3,143.16 = 1,788.72/x
  3. Step 3: Cross multiply
    2,099.76x = 3,143.16 × 1,788.72
  4. Step 4: Simplify right side
    2,099.76x = 5,622,233.16
  5. Step 5: Solve for x
    x = 5,622,233.16/2,099.76
  6. Step 6: Final answer
    x = 2,677.56

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