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Finding the Fourth Proportional to 2,609.94, 3,915.81 and 1,634.88

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Solution

The fourth proportional to 2,609.94, 3,915.81 and 1,634.88 is: 2,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.94 : 3,915.81 = 1,634.88 : x
  2. Step 2: Convert to fraction form
    2,609.94/3,915.81 = 1,634.88/x
  3. Step 3: Cross multiply
    2,609.94x = 3,915.81 × 1,634.88
  4. Step 4: Simplify right side
    2,609.94x = 6,401,879.45
  5. Step 5: Solve for x
    x = 6,401,879.45/2,609.94
  6. Step 6: Final answer
    x = 2,452.88

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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.