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Finding the Fourth Proportional to 3,414.80, 5,121.93 and 1,223.30

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Solution

The fourth proportional to 3,414.80, 5,121.93 and 1,223.30 is: 1,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.80 : 5,121.93 = 1,223.30 : x
  2. Step 2: Convert to fraction form
    3,414.80/5,121.93 = 1,223.30/x
  3. Step 3: Cross multiply
    3,414.80x = 5,121.93 × 1,223.30
  4. Step 4: Simplify right side
    3,414.80x = 6,265,656.97
  5. Step 5: Solve for x
    x = 6,265,656.97/3,414.80
  6. Step 6: Final answer
    x = 1,834.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.