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Finding the Fourth Proportional to 2,784.22, 4,176.33 and 2,233.69

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Solution

The fourth proportional to 2,784.22, 4,176.33 and 2,233.69 is: 3,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.22 : 4,176.33 = 2,233.69 : x
  2. Step 2: Convert to fraction form
    2,784.22/4,176.33 = 2,233.69/x
  3. Step 3: Cross multiply
    2,784.22x = 4,176.33 × 2,233.69
  4. Step 4: Simplify right side
    2,784.22x = 9,328,626.56
  5. Step 5: Solve for x
    x = 9,328,626.56/2,784.22
  6. Step 6: Final answer
    x = 3,350.54

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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.