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Finding the Fourth Proportional to 4,206.26, 6,309.99 and 1,609.80

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Solution

The fourth proportional to 4,206.26, 6,309.99 and 1,609.80 is: 2,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.26 : 6,309.99 = 1,609.80 : x
  2. Step 2: Convert to fraction form
    4,206.26/6,309.99 = 1,609.80/x
  3. Step 3: Cross multiply
    4,206.26x = 6,309.99 × 1,609.80
  4. Step 4: Simplify right side
    4,206.26x = 10,157,821.90
  5. Step 5: Solve for x
    x = 10,157,821.90/4,206.26
  6. Step 6: Final answer
    x = 2,414.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.