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Finding the Fourth Proportional to 3,194.69, 4,408.97 and 1,868.31

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Solution

The fourth proportional to 3,194.69, 4,408.97 and 1,868.31 is: 2,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.69 : 4,408.97 = 1,868.31 : x
  2. Step 2: Convert to fraction form
    3,194.69/4,408.97 = 1,868.31/x
  3. Step 3: Cross multiply
    3,194.69x = 4,408.97 × 1,868.31
  4. Step 4: Simplify right side
    3,194.69x = 8,237,313.40
  5. Step 5: Solve for x
    x = 8,237,313.40/3,194.69
  6. Step 6: Final answer
    x = 2,578.44

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1.5x scale

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.