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Finding the Fourth Proportional to 2,172.20, 3,258.70 and 711.43

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Solution

The fourth proportional to 2,172.20, 3,258.70 and 711.43 is: 1,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.20 : 3,258.70 = 711.43 : x
  2. Step 2: Convert to fraction form
    2,172.20/3,258.70 = 711.43/x
  3. Step 3: Cross multiply
    2,172.20x = 3,258.70 × 711.43
  4. Step 4: Simplify right side
    2,172.20x = 2,318,336.94
  5. Step 5: Solve for x
    x = 2,318,336.94/2,172.20
  6. Step 6: Final answer
    x = 1,067.28

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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.