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Finding the Fourth Proportional to 3,098.97, 4,272.96 and 2,311.65

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Solution

The fourth proportional to 3,098.97, 4,272.96 and 2,311.65 is: 3,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.97 : 4,272.96 = 2,311.65 : x
  2. Step 2: Convert to fraction form
    3,098.97/4,272.96 = 2,311.65/x
  3. Step 3: Cross multiply
    3,098.97x = 4,272.96 × 2,311.65
  4. Step 4: Simplify right side
    3,098.97x = 9,877,571.96
  5. Step 5: Solve for x
    x = 9,877,571.96/3,098.97
  6. Step 6: Final answer
    x = 3,187.38

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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.