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Finding the Fourth Proportional to 2,578.59, 3,863.03 and 2,286.99

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Solution

The fourth proportional to 2,578.59, 3,863.03 and 2,286.99 is: 3,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.59 : 3,863.03 = 2,286.99 : x
  2. Step 2: Convert to fraction form
    2,578.59/3,863.03 = 2,286.99/x
  3. Step 3: Cross multiply
    2,578.59x = 3,863.03 × 2,286.99
  4. Step 4: Simplify right side
    2,578.59x = 8,834,699.54
  5. Step 5: Solve for x
    x = 8,834,699.54/2,578.59
  6. Step 6: Final answer
    x = 3,426.17

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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.