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Finding the Fourth Proportional to 2,146.20, 3,219.03 and 684.96

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Solution

The fourth proportional to 2,146.20, 3,219.03 and 684.96 is: 1,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.20 : 3,219.03 = 684.96 : x
  2. Step 2: Convert to fraction form
    2,146.20/3,219.03 = 684.96/x
  3. Step 3: Cross multiply
    2,146.20x = 3,219.03 × 684.96
  4. Step 4: Simplify right side
    2,146.20x = 2,204,906.79
  5. Step 5: Solve for x
    x = 2,204,906.79/2,146.20
  6. Step 6: Final answer
    x = 1,027.35

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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.