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Finding the Fourth Proportional to 3,405.42, 5,105.05 and 1,649.43

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Solution

The fourth proportional to 3,405.42, 5,105.05 and 1,649.43 is: 2,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 5,105.05 = 1,649.43 : x
  2. Step 2: Convert to fraction form
    3,405.42/5,105.05 = 1,649.43/x
  3. Step 3: Cross multiply
    3,405.42x = 5,105.05 × 1,649.43
  4. Step 4: Simplify right side
    3,405.42x = 8,420,418.50
  5. Step 5: Solve for x
    x = 8,420,418.50/3,405.42
  6. Step 6: Final answer
    x = 2,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.