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Finding the Fourth Proportional to 2,152.78, 3,229.67 and 919.55

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Solution

The fourth proportional to 2,152.78, 3,229.67 and 919.55 is: 1,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.78 : 3,229.67 = 919.55 : x
  2. Step 2: Convert to fraction form
    2,152.78/3,229.67 = 919.55/x
  3. Step 3: Cross multiply
    2,152.78x = 3,229.67 × 919.55
  4. Step 4: Simplify right side
    2,152.78x = 2,969,853.42
  5. Step 5: Solve for x
    x = 2,969,853.42/2,152.78
  6. Step 6: Final answer
    x = 1,379.54

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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.