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Finding the Fourth Proportional to 2,635.29, 3,951.83 and 1,074.23

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Solution

The fourth proportional to 2,635.29, 3,951.83 and 1,074.23 is: 1,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.29 : 3,951.83 = 1,074.23 : x
  2. Step 2: Convert to fraction form
    2,635.29/3,951.83 = 1,074.23/x
  3. Step 3: Cross multiply
    2,635.29x = 3,951.83 × 1,074.23
  4. Step 4: Simplify right side
    2,635.29x = 4,245,149.21
  5. Step 5: Solve for x
    x = 4,245,149.21/2,635.29
  6. Step 6: Final answer
    x = 1,610.89

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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.