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Finding the Fourth Proportional to 2,868.62, 3,958.43 and 1,609.88

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Solution

The fourth proportional to 2,868.62, 3,958.43 and 1,609.88 is: 2,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.62 : 3,958.43 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    2,868.62/3,958.43 = 1,609.88/x
  3. Step 3: Cross multiply
    2,868.62x = 3,958.43 × 1,609.88
  4. Step 4: Simplify right side
    2,868.62x = 6,372,569.45
  5. Step 5: Solve for x
    x = 6,372,569.45/2,868.62
  6. Step 6: Final answer
    x = 2,221.48

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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.