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Finding the Fourth Proportional to 2,863.72, 4,288.32 and 2,400.28

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Solution

The fourth proportional to 2,863.72, 4,288.32 and 2,400.28 is: 3,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.72 : 4,288.32 = 2,400.28 : x
  2. Step 2: Convert to fraction form
    2,863.72/4,288.32 = 2,400.28/x
  3. Step 3: Cross multiply
    2,863.72x = 4,288.32 × 2,400.28
  4. Step 4: Simplify right side
    2,863.72x = 10,293,168.73
  5. Step 5: Solve for x
    x = 10,293,168.73/2,863.72
  6. Step 6: Final answer
    x = 3,594.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.