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Finding the Fourth Proportional to 3,474.17, 4,794.05 and 1,961.65

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Solution

The fourth proportional to 3,474.17, 4,794.05 and 1,961.65 is: 2,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.17 : 4,794.05 = 1,961.65 : x
  2. Step 2: Convert to fraction form
    3,474.17/4,794.05 = 1,961.65/x
  3. Step 3: Cross multiply
    3,474.17x = 4,794.05 × 1,961.65
  4. Step 4: Simplify right side
    3,474.17x = 9,404,248.18
  5. Step 5: Solve for x
    x = 9,404,248.18/3,474.17
  6. Step 6: Final answer
    x = 2,706.91

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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.