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Finding the Fourth Proportional to 2,172.52, 3,257.95 and 939.83

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Solution

The fourth proportional to 2,172.52, 3,257.95 and 939.83 is: 1,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.52 : 3,257.95 = 939.83 : x
  2. Step 2: Convert to fraction form
    2,172.52/3,257.95 = 939.83/x
  3. Step 3: Cross multiply
    2,172.52x = 3,257.95 × 939.83
  4. Step 4: Simplify right side
    2,172.52x = 3,061,919.15
  5. Step 5: Solve for x
    x = 3,061,919.15/2,172.52
  6. Step 6: Final answer
    x = 1,409.39

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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.