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Finding the Fourth Proportional to 2,229.76, 3,344.36 and 586.43

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Solution

The fourth proportional to 2,229.76, 3,344.36 and 586.43 is: 879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.76 : 3,344.36 = 586.43 : x
  2. Step 2: Convert to fraction form
    2,229.76/3,344.36 = 586.43/x
  3. Step 3: Cross multiply
    2,229.76x = 3,344.36 × 586.43
  4. Step 4: Simplify right side
    2,229.76x = 1,961,233.03
  5. Step 5: Solve for x
    x = 1,961,233.03/2,229.76
  6. Step 6: Final answer
    x = 879.57

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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.