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Finding the Fourth Proportional to 2,229.23, 3,343.89 and 585.79

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Solution

The fourth proportional to 2,229.23, 3,343.89 and 585.79 is: 878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.23 : 3,343.89 = 585.79 : x
  2. Step 2: Convert to fraction form
    2,229.23/3,343.89 = 585.79/x
  3. Step 3: Cross multiply
    2,229.23x = 3,343.89 × 585.79
  4. Step 4: Simplify right side
    2,229.23x = 1,958,811.16
  5. Step 5: Solve for x
    x = 1,958,811.16/2,229.23
  6. Step 6: Final answer
    x = 878.69

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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.