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Finding the Fourth Proportional to 3,093.77, 4,269.46 and 1,749.11

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Solution

The fourth proportional to 3,093.77, 4,269.46 and 1,749.11 is: 2,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.77 : 4,269.46 = 1,749.11 : x
  2. Step 2: Convert to fraction form
    3,093.77/4,269.46 = 1,749.11/x
  3. Step 3: Cross multiply
    3,093.77x = 4,269.46 × 1,749.11
  4. Step 4: Simplify right side
    3,093.77x = 7,467,755.18
  5. Step 5: Solve for x
    x = 7,467,755.18/3,093.77
  6. Step 6: Final answer
    x = 2,413.80

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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.