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Finding the Fourth Proportional to 2,696.49, 3,721.50 and 1,517.78

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Solution

The fourth proportional to 2,696.49, 3,721.50 and 1,517.78 is: 2,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.49 : 3,721.50 = 1,517.78 : x
  2. Step 2: Convert to fraction form
    2,696.49/3,721.50 = 1,517.78/x
  3. Step 3: Cross multiply
    2,696.49x = 3,721.50 × 1,517.78
  4. Step 4: Simplify right side
    2,696.49x = 5,648,418.27
  5. Step 5: Solve for x
    x = 5,648,418.27/2,696.49
  6. Step 6: Final answer
    x = 2,094.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.