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Finding the Fourth Proportional to 4,129.43, 6,194.43 and 1,664.26

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Solution

The fourth proportional to 4,129.43, 6,194.43 and 1,664.26 is: 2,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.43 : 6,194.43 = 1,664.26 : x
  2. Step 2: Convert to fraction form
    4,129.43/6,194.43 = 1,664.26/x
  3. Step 3: Cross multiply
    4,129.43x = 6,194.43 × 1,664.26
  4. Step 4: Simplify right side
    4,129.43x = 10,309,126.59
  5. Step 5: Solve for x
    x = 10,309,126.59/4,129.43
  6. Step 6: Final answer
    x = 2,496.50

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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.