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Finding the Fourth Proportional to 2,993.85, 4,131.61 and 1,649.39

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Solution

The fourth proportional to 2,993.85, 4,131.61 and 1,649.39 is: 2,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.85 : 4,131.61 = 1,649.39 : x
  2. Step 2: Convert to fraction form
    2,993.85/4,131.61 = 1,649.39/x
  3. Step 3: Cross multiply
    2,993.85x = 4,131.61 × 1,649.39
  4. Step 4: Simplify right side
    2,993.85x = 6,814,611.44
  5. Step 5: Solve for x
    x = 6,814,611.44/2,993.85
  6. Step 6: Final answer
    x = 2,276.20

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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.