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Finding the Fourth Proportional to 2,868.75, 3,958.65 and 1,609.64

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Solution

The fourth proportional to 2,868.75, 3,958.65 and 1,609.64 is: 2,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.75 : 3,958.65 = 1,609.64 : x
  2. Step 2: Convert to fraction form
    2,868.75/3,958.65 = 1,609.64/x
  3. Step 3: Cross multiply
    2,868.75x = 3,958.65 × 1,609.64
  4. Step 4: Simplify right side
    2,868.75x = 6,371,973.54
  5. Step 5: Solve for x
    x = 6,371,973.54/2,868.75
  6. Step 6: Final answer
    x = 2,221.17

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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.