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Finding the Fourth Proportional to 3,169.97, 4,374.57 and 1,844.57

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Solution

The fourth proportional to 3,169.97, 4,374.57 and 1,844.57 is: 2,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.97 : 4,374.57 = 1,844.57 : x
  2. Step 2: Convert to fraction form
    3,169.97/4,374.57 = 1,844.57/x
  3. Step 3: Cross multiply
    3,169.97x = 4,374.57 × 1,844.57
  4. Step 4: Simplify right side
    3,169.97x = 8,069,218.44
  5. Step 5: Solve for x
    x = 8,069,218.44/3,169.97
  6. Step 6: Final answer
    x = 2,545.52

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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.