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Finding the Fourth Proportional to 2,144.13, 3,216.51 and 757.22

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Solution

The fourth proportional to 2,144.13, 3,216.51 and 757.22 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.13 : 3,216.51 = 757.22 : x
  2. Step 2: Convert to fraction form
    2,144.13/3,216.51 = 757.22/x
  3. Step 3: Cross multiply
    2,144.13x = 3,216.51 × 757.22
  4. Step 4: Simplify right side
    2,144.13x = 2,435,589.62
  5. Step 5: Solve for x
    x = 2,435,589.62/2,144.13
  6. Step 6: Final answer
    x = 1,135.93

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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.