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Finding the Fourth Proportional to 2,856.87, 3,942 and 1,863.81

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Solution

The fourth proportional to 2,856.87, 3,942 and 1,863.81 is: 2,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.87 : 3,942 = 1,863.81 : x
  2. Step 2: Convert to fraction form
    2,856.87/3,942 = 1,863.81/x
  3. Step 3: Cross multiply
    2,856.87x = 3,942 × 1,863.81
  4. Step 4: Simplify right side
    2,856.87x = 7,347,139.02
  5. Step 5: Solve for x
    x = 7,347,139.02/2,856.87
  6. Step 6: Final answer
    x = 2,571.74

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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.