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Finding the Fourth Proportional to 3,122.20, 4,675.20 and 2,468.80

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Solution

The fourth proportional to 3,122.20, 4,675.20 and 2,468.80 is: 3,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.20 : 4,675.20 = 2,468.80 : x
  2. Step 2: Convert to fraction form
    3,122.20/4,675.20 = 2,468.80/x
  3. Step 3: Cross multiply
    3,122.20x = 4,675.20 × 2,468.80
  4. Step 4: Simplify right side
    3,122.20x = 11,542,133.76
  5. Step 5: Solve for x
    x = 11,542,133.76/3,122.20
  6. Step 6: Final answer
    x = 3,696.80

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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.