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Finding the Fourth Proportional to 2,306.92, 3,183.52 and 1,258.98

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Solution

The fourth proportional to 2,306.92, 3,183.52 and 1,258.98 is: 1,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.92 : 3,183.52 = 1,258.98 : x
  2. Step 2: Convert to fraction form
    2,306.92/3,183.52 = 1,258.98/x
  3. Step 3: Cross multiply
    2,306.92x = 3,183.52 × 1,258.98
  4. Step 4: Simplify right side
    2,306.92x = 4,007,988.01
  5. Step 5: Solve for x
    x = 4,007,988.01/2,306.92
  6. Step 6: Final answer
    x = 1,737.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.