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Finding the Fourth Proportional to 2,797.84, 3,863.73 and 2,098

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Solution

The fourth proportional to 2,797.84, 3,863.73 and 2,098 is: 2,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.84 : 3,863.73 = 2,098 : x
  2. Step 2: Convert to fraction form
    2,797.84/3,863.73 = 2,098/x
  3. Step 3: Cross multiply
    2,797.84x = 3,863.73 × 2,098
  4. Step 4: Simplify right side
    2,797.84x = 8,106,105.54
  5. Step 5: Solve for x
    x = 8,106,105.54/2,797.84
  6. Step 6: Final answer
    x = 2,897.27

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Why These Related Problems?

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