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Finding the Fourth Proportional to 2,868.35, 3,958.49 and 1,609.83

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Solution

The fourth proportional to 2,868.35, 3,958.49 and 1,609.83 is: 2,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.35 : 3,958.49 = 1,609.83 : x
  2. Step 2: Convert to fraction form
    2,868.35/3,958.49 = 1,609.83/x
  3. Step 3: Cross multiply
    2,868.35x = 3,958.49 × 1,609.83
  4. Step 4: Simplify right side
    2,868.35x = 6,372,499.98
  5. Step 5: Solve for x
    x = 6,372,499.98/2,868.35
  6. Step 6: Final answer
    x = 2,221.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.