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Finding the Fourth Proportional to 2,247.98, 3,372.24 and 767.45

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Solution

The fourth proportional to 2,247.98, 3,372.24 and 767.45 is: 1,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.98 : 3,372.24 = 767.45 : x
  2. Step 2: Convert to fraction form
    2,247.98/3,372.24 = 767.45/x
  3. Step 3: Cross multiply
    2,247.98x = 3,372.24 × 767.45
  4. Step 4: Simplify right side
    2,247.98x = 2,588,025.59
  5. Step 5: Solve for x
    x = 2,588,025.59/2,247.98
  6. Step 6: Final answer
    x = 1,151.27

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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.