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Finding the Fourth Proportional to 3,219.81, 4,443.71 and 1,961.60

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Solution

The fourth proportional to 3,219.81, 4,443.71 and 1,961.60 is: 2,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.81 : 4,443.71 = 1,961.60 : x
  2. Step 2: Convert to fraction form
    3,219.81/4,443.71 = 1,961.60/x
  3. Step 3: Cross multiply
    3,219.81x = 4,443.71 × 1,961.60
  4. Step 4: Simplify right side
    3,219.81x = 8,716,781.54
  5. Step 5: Solve for x
    x = 8,716,781.54/3,219.81
  6. Step 6: Final answer
    x = 2,707.23

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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.