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Finding the Fourth Proportional to 3,297.69, 4,940.32 and 2,563.70

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Solution

The fourth proportional to 3,297.69, 4,940.32 and 2,563.70 is: 3,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.69 : 4,940.32 = 2,563.70 : x
  2. Step 2: Convert to fraction form
    3,297.69/4,940.32 = 2,563.70/x
  3. Step 3: Cross multiply
    3,297.69x = 4,940.32 × 2,563.70
  4. Step 4: Simplify right side
    3,297.69x = 12,665,498.38
  5. Step 5: Solve for x
    x = 12,665,498.38/3,297.69
  6. Step 6: Final answer
    x = 3,840.72

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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.