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Finding the Fourth Proportional to 2,172.72, 3,275.22 and 2,047.44

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Solution

The fourth proportional to 2,172.72, 3,275.22 and 2,047.44 is: 3,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.72 : 3,275.22 = 2,047.44 : x
  2. Step 2: Convert to fraction form
    2,172.72/3,275.22 = 2,047.44/x
  3. Step 3: Cross multiply
    2,172.72x = 3,275.22 × 2,047.44
  4. Step 4: Simplify right side
    2,172.72x = 6,705,816.44
  5. Step 5: Solve for x
    x = 6,705,816.44/2,172.72
  6. Step 6: Final answer
    x = 3,086.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.