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Finding the Fourth Proportional to 2,152.69, 3,229.04 and 613.69

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Solution

The fourth proportional to 2,152.69, 3,229.04 and 613.69 is: 920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.69 : 3,229.04 = 613.69 : x
  2. Step 2: Convert to fraction form
    2,152.69/3,229.04 = 613.69/x
  3. Step 3: Cross multiply
    2,152.69x = 3,229.04 × 613.69
  4. Step 4: Simplify right side
    2,152.69x = 1,981,623.02
  5. Step 5: Solve for x
    x = 1,981,623.02/2,152.69
  6. Step 6: Final answer
    x = 920.53

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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.