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Finding the Fourth Proportional to 3,377.70, 4,661.26 and 1,961.48

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Solution

The fourth proportional to 3,377.70, 4,661.26 and 1,961.48 is: 2,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.70 : 4,661.26 = 1,961.48 : x
  2. Step 2: Convert to fraction form
    3,377.70/4,661.26 = 1,961.48/x
  3. Step 3: Cross multiply
    3,377.70x = 4,661.26 × 1,961.48
  4. Step 4: Simplify right side
    3,377.70x = 9,142,968.26
  5. Step 5: Solve for x
    x = 9,142,968.26/3,377.70
  6. Step 6: Final answer
    x = 2,706.86

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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.