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Finding the Fourth Proportional to 2,504.73, 3,454.34 and 1,619.67

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Solution

The fourth proportional to 2,504.73, 3,454.34 and 1,619.67 is: 2,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.73 : 3,454.34 = 1,619.67 : x
  2. Step 2: Convert to fraction form
    2,504.73/3,454.34 = 1,619.67/x
  3. Step 3: Cross multiply
    2,504.73x = 3,454.34 × 1,619.67
  4. Step 4: Simplify right side
    2,504.73x = 5,594,882.77
  5. Step 5: Solve for x
    x = 5,594,882.77/2,504.73
  6. Step 6: Final answer
    x = 2,233.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.