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Finding the Fourth Proportional to 3,365.44, 4,644.46 and 1,949.19

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Solution

The fourth proportional to 3,365.44, 4,644.46 and 1,949.19 is: 2,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.44 : 4,644.46 = 1,949.19 : x
  2. Step 2: Convert to fraction form
    3,365.44/4,644.46 = 1,949.19/x
  3. Step 3: Cross multiply
    3,365.44x = 4,644.46 × 1,949.19
  4. Step 4: Simplify right side
    3,365.44x = 9,052,933.07
  5. Step 5: Solve for x
    x = 9,052,933.07/3,365.44
  6. Step 6: Final answer
    x = 2,689.97

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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.