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Finding the Fourth Proportional to 3,194.48, 4,408.38 and 1,869.08

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Solution

The fourth proportional to 3,194.48, 4,408.38 and 1,869.08 is: 2,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.48 : 4,408.38 = 1,869.08 : x
  2. Step 2: Convert to fraction form
    3,194.48/4,408.38 = 1,869.08/x
  3. Step 3: Cross multiply
    3,194.48x = 4,408.38 × 1,869.08
  4. Step 4: Simplify right side
    3,194.48x = 8,239,614.89
  5. Step 5: Solve for x
    x = 8,239,614.89/3,194.48
  6. Step 6: Final answer
    x = 2,579.33

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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.