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Finding the Fourth Proportional to 2,563.45, 3,826.85 and 2,286.63

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Solution

The fourth proportional to 2,563.45, 3,826.85 and 2,286.63 is: 3,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.45 : 3,826.85 = 2,286.63 : x
  2. Step 2: Convert to fraction form
    2,563.45/3,826.85 = 2,286.63/x
  3. Step 3: Cross multiply
    2,563.45x = 3,826.85 × 2,286.63
  4. Step 4: Simplify right side
    2,563.45x = 8,750,578.58
  5. Step 5: Solve for x
    x = 8,750,578.58/2,563.45
  6. Step 6: Final answer
    x = 3,413.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.