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Finding the Fourth Proportional to 3,092.66, 4,268.09 and 1,914.41

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Solution

The fourth proportional to 3,092.66, 4,268.09 and 1,914.41 is: 2,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.66 : 4,268.09 = 1,914.41 : x
  2. Step 2: Convert to fraction form
    3,092.66/4,268.09 = 1,914.41/x
  3. Step 3: Cross multiply
    3,092.66x = 4,268.09 × 1,914.41
  4. Step 4: Simplify right side
    3,092.66x = 8,170,874.18
  5. Step 5: Solve for x
    x = 8,170,874.18/3,092.66
  6. Step 6: Final answer
    x = 2,642.02

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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.