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Finding the Fourth Proportional to 2,680.50, 3,699.09 and 1,749

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Solution

The fourth proportional to 2,680.50, 3,699.09 and 1,749 is: 2,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.50 : 3,699.09 = 1,749 : x
  2. Step 2: Convert to fraction form
    2,680.50/3,699.09 = 1,749/x
  3. Step 3: Cross multiply
    2,680.50x = 3,699.09 × 1,749
  4. Step 4: Simplify right side
    2,680.50x = 6,469,708.41
  5. Step 5: Solve for x
    x = 6,469,708.41/2,680.50
  6. Step 6: Final answer
    x = 2,413.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.