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Finding the Fourth Proportional to 2,609.34, 3,911.50 and 965.44

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Solution

The fourth proportional to 2,609.34, 3,911.50 and 965.44 is: 1,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.34 : 3,911.50 = 965.44 : x
  2. Step 2: Convert to fraction form
    2,609.34/3,911.50 = 965.44/x
  3. Step 3: Cross multiply
    2,609.34x = 3,911.50 × 965.44
  4. Step 4: Simplify right side
    2,609.34x = 3,776,318.56
  5. Step 5: Solve for x
    x = 3,776,318.56/2,609.34
  6. Step 6: Final answer
    x = 1,447.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.