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Finding the Fourth Proportional to 2,272, 3,408.08 and 1,035.72

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Solution

The fourth proportional to 2,272, 3,408.08 and 1,035.72 is: 1,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272 : 3,408.08 = 1,035.72 : x
  2. Step 2: Convert to fraction form
    2,272/3,408.08 = 1,035.72/x
  3. Step 3: Cross multiply
    2,272x = 3,408.08 × 1,035.72
  4. Step 4: Simplify right side
    2,272x = 3,529,816.62
  5. Step 5: Solve for x
    x = 3,529,816.62/2,272
  6. Step 6: Final answer
    x = 1,553.62

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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.