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Finding the Fourth Proportional to 2,863.03, 3,952.74 and 2,198.59

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Solution

The fourth proportional to 2,863.03, 3,952.74 and 2,198.59 is: 3,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.03 : 3,952.74 = 2,198.59 : x
  2. Step 2: Convert to fraction form
    2,863.03/3,952.74 = 2,198.59/x
  3. Step 3: Cross multiply
    2,863.03x = 3,952.74 × 2,198.59
  4. Step 4: Simplify right side
    2,863.03x = 8,690,454.64
  5. Step 5: Solve for x
    x = 8,690,454.64/2,863.03
  6. Step 6: Final answer
    x = 3,035.40

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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.