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Finding the Fourth Proportional to 4,608.41, 6,910.23 and 1,645.73

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Solution

The fourth proportional to 4,608.41, 6,910.23 and 1,645.73 is: 2,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.41 : 6,910.23 = 1,645.73 : x
  2. Step 2: Convert to fraction form
    4,608.41/6,910.23 = 1,645.73/x
  3. Step 3: Cross multiply
    4,608.41x = 6,910.23 × 1,645.73
  4. Step 4: Simplify right side
    4,608.41x = 11,372,372.82
  5. Step 5: Solve for x
    x = 11,372,372.82/4,608.41
  6. Step 6: Final answer
    x = 2,467.74

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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.