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Finding the Fourth Proportional to 3,270.33, 4,513.05 and 1,778.22

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Solution

The fourth proportional to 3,270.33, 4,513.05 and 1,778.22 is: 2,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.33 : 4,513.05 = 1,778.22 : x
  2. Step 2: Convert to fraction form
    3,270.33/4,513.05 = 1,778.22/x
  3. Step 3: Cross multiply
    3,270.33x = 4,513.05 × 1,778.22
  4. Step 4: Simplify right side
    3,270.33x = 8,025,195.77
  5. Step 5: Solve for x
    x = 8,025,195.77/3,270.33
  6. Step 6: Final answer
    x = 2,453.94

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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.