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Finding the Fourth Proportional to 2,172.36, 3,258.66 and 711.96

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Solution

The fourth proportional to 2,172.36, 3,258.66 and 711.96 is: 1,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.36 : 3,258.66 = 711.96 : x
  2. Step 2: Convert to fraction form
    2,172.36/3,258.66 = 711.96/x
  3. Step 3: Cross multiply
    2,172.36x = 3,258.66 × 711.96
  4. Step 4: Simplify right side
    2,172.36x = 2,320,035.57
  5. Step 5: Solve for x
    x = 2,320,035.57/2,172.36
  6. Step 6: Final answer
    x = 1,067.98

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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.