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Finding the Fourth Proportional to 1,491.36, 2,249.02 and 1,481.64

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Solution

The fourth proportional to 1,491.36, 2,249.02 and 1,481.64 is: 2,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.36 : 2,249.02 = 1,481.64 : x
  2. Step 2: Convert to fraction form
    1,491.36/2,249.02 = 1,481.64/x
  3. Step 3: Cross multiply
    1,491.36x = 2,249.02 × 1,481.64
  4. Step 4: Simplify right side
    1,491.36x = 3,332,237.99
  5. Step 5: Solve for x
    x = 3,332,237.99/1,491.36
  6. Step 6: Final answer
    x = 2,234.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.