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Finding the Fourth Proportional to 4,109.70, 6,169.17 and 1,646.26

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Solution

The fourth proportional to 4,109.70, 6,169.17 and 1,646.26 is: 2,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.70 : 6,169.17 = 1,646.26 : x
  2. Step 2: Convert to fraction form
    4,109.70/6,169.17 = 1,646.26/x
  3. Step 3: Cross multiply
    4,109.70x = 6,169.17 × 1,646.26
  4. Step 4: Simplify right side
    4,109.70x = 10,156,057.80
  5. Step 5: Solve for x
    x = 10,156,057.80/4,109.70
  6. Step 6: Final answer
    x = 2,471.24

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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.