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Finding the Fourth Proportional to 2,272.24, 3,408.45 and 628.80

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Solution

The fourth proportional to 2,272.24, 3,408.45 and 628.80 is: 943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.24 : 3,408.45 = 628.80 : x
  2. Step 2: Convert to fraction form
    2,272.24/3,408.45 = 628.80/x
  3. Step 3: Cross multiply
    2,272.24x = 3,408.45 × 628.80
  4. Step 4: Simplify right side
    2,272.24x = 2,143,233.36
  5. Step 5: Solve for x
    x = 2,143,233.36/2,272.24
  6. Step 6: Final answer
    x = 943.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.