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Finding the Fourth Proportional to 3,450.96, 5,174.28 and 1,600.92

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Solution

The fourth proportional to 3,450.96, 5,174.28 and 1,600.92 is: 2,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.96 : 5,174.28 = 1,600.92 : x
  2. Step 2: Convert to fraction form
    3,450.96/5,174.28 = 1,600.92/x
  3. Step 3: Cross multiply
    3,450.96x = 5,174.28 × 1,600.92
  4. Step 4: Simplify right side
    3,450.96x = 8,283,608.34
  5. Step 5: Solve for x
    x = 8,283,608.34/3,450.96
  6. Step 6: Final answer
    x = 2,400.38

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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.