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Finding the Fourth Proportional to 2,868.14, 3,958.23 and 1,609.31

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Solution

The fourth proportional to 2,868.14, 3,958.23 and 1,609.31 is: 2,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.14 : 3,958.23 = 1,609.31 : x
  2. Step 2: Convert to fraction form
    2,868.14/3,958.23 = 1,609.31/x
  3. Step 3: Cross multiply
    2,868.14x = 3,958.23 × 1,609.31
  4. Step 4: Simplify right side
    2,868.14x = 6,370,019.12
  5. Step 5: Solve for x
    x = 6,370,019.12/2,868.14
  6. Step 6: Final answer
    x = 2,220.96

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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.