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Finding the Fourth Proportional to 2,772.49, 3,821.97 and 1,985.17

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Solution

The fourth proportional to 2,772.49, 3,821.97 and 1,985.17 is: 2,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.49 : 3,821.97 = 1,985.17 : x
  2. Step 2: Convert to fraction form
    2,772.49/3,821.97 = 1,985.17/x
  3. Step 3: Cross multiply
    2,772.49x = 3,821.97 × 1,985.17
  4. Step 4: Simplify right side
    2,772.49x = 7,587,260.18
  5. Step 5: Solve for x
    x = 7,587,260.18/2,772.49
  6. Step 6: Final answer
    x = 2,736.62

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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.