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Finding the Fourth Proportional to 3,172.70, 4,763.19 and 2,442.80

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Solution

The fourth proportional to 3,172.70, 4,763.19 and 2,442.80 is: 3,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.70 : 4,763.19 = 2,442.80 : x
  2. Step 2: Convert to fraction form
    3,172.70/4,763.19 = 2,442.80/x
  3. Step 3: Cross multiply
    3,172.70x = 4,763.19 × 2,442.80
  4. Step 4: Simplify right side
    3,172.70x = 11,635,520.53
  5. Step 5: Solve for x
    x = 11,635,520.53/3,172.70
  6. Step 6: Final answer
    x = 3,667.39

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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.