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Finding the Fourth Proportional to 2,224.42, 3,336.33 and 580.82

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Solution

The fourth proportional to 2,224.42, 3,336.33 and 580.82 is: 871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.42 : 3,336.33 = 580.82 : x
  2. Step 2: Convert to fraction form
    2,224.42/3,336.33 = 580.82/x
  3. Step 3: Cross multiply
    2,224.42x = 3,336.33 × 580.82
  4. Step 4: Simplify right side
    2,224.42x = 1,937,807.19
  5. Step 5: Solve for x
    x = 1,937,807.19/2,224.42
  6. Step 6: Final answer
    x = 871.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.