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Finding the Fourth Proportional to 2,172.41, 3,258.82 and 711.57

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Solution

The fourth proportional to 2,172.41, 3,258.82 and 711.57 is: 1,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.41 : 3,258.82 = 711.57 : x
  2. Step 2: Convert to fraction form
    2,172.41/3,258.82 = 711.57/x
  3. Step 3: Cross multiply
    2,172.41x = 3,258.82 × 711.57
  4. Step 4: Simplify right side
    2,172.41x = 2,318,878.55
  5. Step 5: Solve for x
    x = 2,318,878.55/2,172.41
  6. Step 6: Final answer
    x = 1,067.42

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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.