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Finding the Fourth Proportional to 2,272.57, 3,408.86 and 629.20

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Solution

The fourth proportional to 2,272.57, 3,408.86 and 629.20 is: 943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.57 : 3,408.86 = 629.20 : x
  2. Step 2: Convert to fraction form
    2,272.57/3,408.86 = 629.20/x
  3. Step 3: Cross multiply
    2,272.57x = 3,408.86 × 629.20
  4. Step 4: Simplify right side
    2,272.57x = 2,144,851.57
  5. Step 5: Solve for x
    x = 2,144,851.57/2,272.57
  6. Step 6: Final answer
    x = 943.80

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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.