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Finding the Fourth Proportional to 2,863.14, 3,951.06 and 1,604.12

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Solution

The fourth proportional to 2,863.14, 3,951.06 and 1,604.12 is: 2,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.14 : 3,951.06 = 1,604.12 : x
  2. Step 2: Convert to fraction form
    2,863.14/3,951.06 = 1,604.12/x
  3. Step 3: Cross multiply
    2,863.14x = 3,951.06 × 1,604.12
  4. Step 4: Simplify right side
    2,863.14x = 6,337,974.37
  5. Step 5: Solve for x
    x = 6,337,974.37/2,863.14
  6. Step 6: Final answer
    x = 2,213.64

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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.