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Finding the Fourth Proportional to 2,224.65, 3,336.91 and 581.17

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Solution

The fourth proportional to 2,224.65, 3,336.91 and 581.17 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.65 : 3,336.91 = 581.17 : x
  2. Step 2: Convert to fraction form
    2,224.65/3,336.91 = 581.17/x
  3. Step 3: Cross multiply
    2,224.65x = 3,336.91 × 581.17
  4. Step 4: Simplify right side
    2,224.65x = 1,939,311.98
  5. Step 5: Solve for x
    x = 1,939,311.98/2,224.65
  6. Step 6: Final answer
    x = 871.74

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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.