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Finding the Fourth Proportional to 3,073.69, 4,609.44 and 1,224.31

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Solution

The fourth proportional to 3,073.69, 4,609.44 and 1,224.31 is: 1,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.69 : 4,609.44 = 1,224.31 : x
  2. Step 2: Convert to fraction form
    3,073.69/4,609.44 = 1,224.31/x
  3. Step 3: Cross multiply
    3,073.69x = 4,609.44 × 1,224.31
  4. Step 4: Simplify right side
    3,073.69x = 5,643,371.96
  5. Step 5: Solve for x
    x = 5,643,371.96/3,073.69
  6. Step 6: Final answer
    x = 1,836.03

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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.