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Finding the Fourth Proportional to 2,228, 3,342.02 and 584.56

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Solution

The fourth proportional to 2,228, 3,342.02 and 584.56 is: 876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228 : 3,342.02 = 584.56 : x
  2. Step 2: Convert to fraction form
    2,228/3,342.02 = 584.56/x
  3. Step 3: Cross multiply
    2,228x = 3,342.02 × 584.56
  4. Step 4: Simplify right side
    2,228x = 1,953,611.21
  5. Step 5: Solve for x
    x = 1,953,611.21/2,228
  6. Step 6: Final answer
    x = 876.85

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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.