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Finding the Fourth Proportional to 2,764.26, 4,147.72 and 1,724

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Solution

The fourth proportional to 2,764.26, 4,147.72 and 1,724 is: 2,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.26 : 4,147.72 = 1,724 : x
  2. Step 2: Convert to fraction form
    2,764.26/4,147.72 = 1,724/x
  3. Step 3: Cross multiply
    2,764.26x = 4,147.72 × 1,724
  4. Step 4: Simplify right side
    2,764.26x = 7,150,669.28
  5. Step 5: Solve for x
    x = 7,150,669.28/2,764.26
  6. Step 6: Final answer
    x = 2,586.83

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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.