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Finding the Fourth Proportional to 2,074.76, 3,096.97 and 1,828.73

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Solution

The fourth proportional to 2,074.76, 3,096.97 and 1,828.73 is: 2,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.76 : 3,096.97 = 1,828.73 : x
  2. Step 2: Convert to fraction form
    2,074.76/3,096.97 = 1,828.73/x
  3. Step 3: Cross multiply
    2,074.76x = 3,096.97 × 1,828.73
  4. Step 4: Simplify right side
    2,074.76x = 5,663,497.32
  5. Step 5: Solve for x
    x = 5,663,497.32/2,074.76
  6. Step 6: Final answer
    x = 2,729.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.