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Finding the Fourth Proportional to 2,863.86, 3,951.81 and 1,746.42

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Solution

The fourth proportional to 2,863.86, 3,951.81 and 1,746.42 is: 2,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.86 : 3,951.81 = 1,746.42 : x
  2. Step 2: Convert to fraction form
    2,863.86/3,951.81 = 1,746.42/x
  3. Step 3: Cross multiply
    2,863.86x = 3,951.81 × 1,746.42
  4. Step 4: Simplify right side
    2,863.86x = 6,901,520.02
  5. Step 5: Solve for x
    x = 6,901,520.02/2,863.86
  6. Step 6: Final answer
    x = 2,409.87

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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.