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Finding the Fourth Proportional to 3,446.24, 5,171.90 and 1,690.88

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Solution

The fourth proportional to 3,446.24, 5,171.90 and 1,690.88 is: 2,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.24 : 5,171.90 = 1,690.88 : x
  2. Step 2: Convert to fraction form
    3,446.24/5,171.90 = 1,690.88/x
  3. Step 3: Cross multiply
    3,446.24x = 5,171.90 × 1,690.88
  4. Step 4: Simplify right side
    3,446.24x = 8,745,062.27
  5. Step 5: Solve for x
    x = 8,745,062.27/3,446.24
  6. Step 6: Final answer
    x = 2,537.57

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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.