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Finding the Fourth Proportional to 2,172.61, 3,258.31 and 1,678.71

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Solution

The fourth proportional to 2,172.61, 3,258.31 and 1,678.71 is: 2,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.61 : 3,258.31 = 1,678.71 : x
  2. Step 2: Convert to fraction form
    2,172.61/3,258.31 = 1,678.71/x
  3. Step 3: Cross multiply
    2,172.61x = 3,258.31 × 1,678.71
  4. Step 4: Simplify right side
    2,172.61x = 5,469,757.58
  5. Step 5: Solve for x
    x = 5,469,757.58/2,172.61
  6. Step 6: Final answer
    x = 2,517.60

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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.