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Finding the Fourth Proportional to 2,609.03, 3,911.23 and 965.20

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Solution

The fourth proportional to 2,609.03, 3,911.23 and 965.20 is: 1,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.03 : 3,911.23 = 965.20 : x
  2. Step 2: Convert to fraction form
    2,609.03/3,911.23 = 965.20/x
  3. Step 3: Cross multiply
    2,609.03x = 3,911.23 × 965.20
  4. Step 4: Simplify right side
    2,609.03x = 3,775,119.20
  5. Step 5: Solve for x
    x = 3,775,119.20/2,609.03
  6. Step 6: Final answer
    x = 1,446.94

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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.