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Finding the Fourth Proportional to 2,593.26, 3,890.52 and 744.42

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Solution

The fourth proportional to 2,593.26, 3,890.52 and 744.42 is: 1,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.26 : 3,890.52 = 744.42 : x
  2. Step 2: Convert to fraction form
    2,593.26/3,890.52 = 744.42/x
  3. Step 3: Cross multiply
    2,593.26x = 3,890.52 × 744.42
  4. Step 4: Simplify right side
    2,593.26x = 2,896,180.90
  5. Step 5: Solve for x
    x = 2,896,180.90/2,593.26
  6. Step 6: Final answer
    x = 1,116.81

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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.