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Finding the Fourth Proportional to 2,172.75, 3,231.17 and 2,103.55

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Solution

The fourth proportional to 2,172.75, 3,231.17 and 2,103.55 is: 3,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.75 : 3,231.17 = 2,103.55 : x
  2. Step 2: Convert to fraction form
    2,172.75/3,231.17 = 2,103.55/x
  3. Step 3: Cross multiply
    2,172.75x = 3,231.17 × 2,103.55
  4. Step 4: Simplify right side
    2,172.75x = 6,796,916.95
  5. Step 5: Solve for x
    x = 6,796,916.95/2,172.75
  6. Step 6: Final answer
    x = 3,128.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.