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Finding the Fourth Proportional to 3,366.25, 4,644.72 and 1,949.86

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Solution

The fourth proportional to 3,366.25, 4,644.72 and 1,949.86 is: 2,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.25 : 4,644.72 = 1,949.86 : x
  2. Step 2: Convert to fraction form
    3,366.25/4,644.72 = 1,949.86/x
  3. Step 3: Cross multiply
    3,366.25x = 4,644.72 × 1,949.86
  4. Step 4: Simplify right side
    3,366.25x = 9,056,535.39
  5. Step 5: Solve for x
    x = 9,056,535.39/3,366.25
  6. Step 6: Final answer
    x = 2,690.39

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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.