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Finding the Fourth Proportional to 2,229.92, 3,344.58 and 586.52

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Solution

The fourth proportional to 2,229.92, 3,344.58 and 586.52 is: 879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.92 : 3,344.58 = 586.52 : x
  2. Step 2: Convert to fraction form
    2,229.92/3,344.58 = 586.52/x
  3. Step 3: Cross multiply
    2,229.92x = 3,344.58 × 586.52
  4. Step 4: Simplify right side
    2,229.92x = 1,961,663.06
  5. Step 5: Solve for x
    x = 1,961,663.06/2,229.92
  6. Step 6: Final answer
    x = 879.70

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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.