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Finding the Fourth Proportional to 2,517.66, 3,772.94 and 1,930.41

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Solution

The fourth proportional to 2,517.66, 3,772.94 and 1,930.41 is: 2,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.66 : 3,772.94 = 1,930.41 : x
  2. Step 2: Convert to fraction form
    2,517.66/3,772.94 = 1,930.41/x
  3. Step 3: Cross multiply
    2,517.66x = 3,772.94 × 1,930.41
  4. Step 4: Simplify right side
    2,517.66x = 7,283,311.45
  5. Step 5: Solve for x
    x = 7,283,311.45/2,517.66
  6. Step 6: Final answer
    x = 2,892.89

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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.