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Finding the Fourth Proportional to 2,772.84, 4,173.24 and 2,083.14

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Solution

The fourth proportional to 2,772.84, 4,173.24 and 2,083.14 is: 3,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 4,173.24 = 2,083.14 : x
  2. Step 2: Convert to fraction form
    2,772.84/4,173.24 = 2,083.14/x
  3. Step 3: Cross multiply
    2,772.84x = 4,173.24 × 2,083.14
  4. Step 4: Simplify right side
    2,772.84x = 8,693,443.17
  5. Step 5: Solve for x
    x = 8,693,443.17/2,772.84
  6. Step 6: Final answer
    x = 3,135.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.