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Finding the Fourth Proportional to 3,414.50, 5,122.82 and 1,223.25

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Solution

The fourth proportional to 3,414.50, 5,122.82 and 1,223.25 is: 1,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.50 : 5,122.82 = 1,223.25 : x
  2. Step 2: Convert to fraction form
    3,414.50/5,122.82 = 1,223.25/x
  3. Step 3: Cross multiply
    3,414.50x = 5,122.82 × 1,223.25
  4. Step 4: Simplify right side
    3,414.50x = 6,266,477.05
  5. Step 5: Solve for x
    x = 6,266,477.05/3,414.50
  6. Step 6: Final answer
    x = 1,835.25

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Why These Related Problems?

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