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Finding the Fourth Proportional to 3,233.22, 4,849.61 and 1,589.22

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Solution

The fourth proportional to 3,233.22, 4,849.61 and 1,589.22 is: 2,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.22 : 4,849.61 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    3,233.22/4,849.61 = 1,589.22/x
  3. Step 3: Cross multiply
    3,233.22x = 4,849.61 × 1,589.22
  4. Step 4: Simplify right side
    3,233.22x = 7,707,089.26
  5. Step 5: Solve for x
    x = 7,707,089.26/3,233.22
  6. Step 6: Final answer
    x = 2,383.72

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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.