Home / 2,272.49-3,408.01-733.13

Finding the Fourth Proportional to 2,272.49, 3,408.01 and 733.13

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Solution

The fourth proportional to 2,272.49, 3,408.01 and 733.13 is: 1,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.49 : 3,408.01 = 733.13 : x
  2. Step 2: Convert to fraction form
    2,272.49/3,408.01 = 733.13/x
  3. Step 3: Cross multiply
    2,272.49x = 3,408.01 × 733.13
  4. Step 4: Simplify right side
    2,272.49x = 2,498,514.37
  5. Step 5: Solve for x
    x = 2,498,514.37/2,272.49
  6. Step 6: Final answer
    x = 1,099.46

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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.