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Finding the Fourth Proportional to 2,517, 3,763.49 and 2,296.43

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Solution

The fourth proportional to 2,517, 3,763.49 and 2,296.43 is: 3,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517 : 3,763.49 = 2,296.43 : x
  2. Step 2: Convert to fraction form
    2,517/3,763.49 = 2,296.43/x
  3. Step 3: Cross multiply
    2,517x = 3,763.49 × 2,296.43
  4. Step 4: Simplify right side
    2,517x = 8,642,589.27
  5. Step 5: Solve for x
    x = 8,642,589.27/2,517
  6. Step 6: Final answer
    x = 3,433.69

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Why These Related Problems?

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