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Finding the Fourth Proportional to 2,609.48, 3,915.63 and 965.81

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Solution

The fourth proportional to 2,609.48, 3,915.63 and 965.81 is: 1,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.48 : 3,915.63 = 965.81 : x
  2. Step 2: Convert to fraction form
    2,609.48/3,915.63 = 965.81/x
  3. Step 3: Cross multiply
    2,609.48x = 3,915.63 × 965.81
  4. Step 4: Simplify right side
    2,609.48x = 3,781,735.03
  5. Step 5: Solve for x
    x = 3,781,735.03/2,609.48
  6. Step 6: Final answer
    x = 1,449.23

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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.