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Finding the Fourth Proportional to 2,209.05, 3,310.92 and 1,744.92

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Solution

The fourth proportional to 2,209.05, 3,310.92 and 1,744.92 is: 2,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.05 : 3,310.92 = 1,744.92 : x
  2. Step 2: Convert to fraction form
    2,209.05/3,310.92 = 1,744.92/x
  3. Step 3: Cross multiply
    2,209.05x = 3,310.92 × 1,744.92
  4. Step 4: Simplify right side
    2,209.05x = 5,777,290.53
  5. Step 5: Solve for x
    x = 5,777,290.53/2,209.05
  6. Step 6: Final answer
    x = 2,615.28

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1.5x scale

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.