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Finding the Fourth Proportional to 2,450.74, 3,675.83 and 719.54

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Solution

The fourth proportional to 2,450.74, 3,675.83 and 719.54 is: 1,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.74 : 3,675.83 = 719.54 : x
  2. Step 2: Convert to fraction form
    2,450.74/3,675.83 = 719.54/x
  3. Step 3: Cross multiply
    2,450.74x = 3,675.83 × 719.54
  4. Step 4: Simplify right side
    2,450.74x = 2,644,906.72
  5. Step 5: Solve for x
    x = 2,644,906.72/2,450.74
  6. Step 6: Final answer
    x = 1,079.23

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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.