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Finding the Fourth Proportional to 3,121.79, 4,307.92 and 1,863.68

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Solution

The fourth proportional to 3,121.79, 4,307.92 and 1,863.68 is: 2,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.79 : 4,307.92 = 1,863.68 : x
  2. Step 2: Convert to fraction form
    3,121.79/4,307.92 = 1,863.68/x
  3. Step 3: Cross multiply
    3,121.79x = 4,307.92 × 1,863.68
  4. Step 4: Simplify right side
    3,121.79x = 8,028,558.15
  5. Step 5: Solve for x
    x = 8,028,558.15/3,121.79
  6. Step 6: Final answer
    x = 2,571.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.