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Finding the Fourth Proportional to 1,600.43, 2,396.21 and 1,209.26

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Solution

The fourth proportional to 1,600.43, 2,396.21 and 1,209.26 is: 1,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.43 : 2,396.21 = 1,209.26 : x
  2. Step 2: Convert to fraction form
    1,600.43/2,396.21 = 1,209.26/x
  3. Step 3: Cross multiply
    1,600.43x = 2,396.21 × 1,209.26
  4. Step 4: Simplify right side
    1,600.43x = 2,897,640.85
  5. Step 5: Solve for x
    x = 2,897,640.85/1,600.43
  6. Step 6: Final answer
    x = 1,810.54

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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.