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Finding the Fourth Proportional to 3,028.54, 4,540.22 and 1,619.81

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Solution

The fourth proportional to 3,028.54, 4,540.22 and 1,619.81 is: 2,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.54 : 4,540.22 = 1,619.81 : x
  2. Step 2: Convert to fraction form
    3,028.54/4,540.22 = 1,619.81/x
  3. Step 3: Cross multiply
    3,028.54x = 4,540.22 × 1,619.81
  4. Step 4: Simplify right side
    3,028.54x = 7,354,293.76
  5. Step 5: Solve for x
    x = 7,354,293.76/3,028.54
  6. Step 6: Final answer
    x = 2,428.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.