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Finding the Fourth Proportional to 2,224.26, 3,336.23 and 580.76

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Solution

The fourth proportional to 2,224.26, 3,336.23 and 580.76 is: 871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.26 : 3,336.23 = 580.76 : x
  2. Step 2: Convert to fraction form
    2,224.26/3,336.23 = 580.76/x
  3. Step 3: Cross multiply
    2,224.26x = 3,336.23 × 580.76
  4. Step 4: Simplify right side
    2,224.26x = 1,937,529.35
  5. Step 5: Solve for x
    x = 1,937,529.35/2,224.26
  6. Step 6: Final answer
    x = 871.09

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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.