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Finding the Fourth Proportional to 2,096.52, 3,143.26 and 863.50

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Solution

The fourth proportional to 2,096.52, 3,143.26 and 863.50 is: 1,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.52 : 3,143.26 = 863.50 : x
  2. Step 2: Convert to fraction form
    2,096.52/3,143.26 = 863.50/x
  3. Step 3: Cross multiply
    2,096.52x = 3,143.26 × 863.50
  4. Step 4: Simplify right side
    2,096.52x = 2,714,184.98
  5. Step 5: Solve for x
    x = 2,714,184.98/2,096.52
  6. Step 6: Final answer
    x = 1,294.61

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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.