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Finding the Fourth Proportional to 2,874.50, 4,303.34 and 2,183.88

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Solution

The fourth proportional to 2,874.50, 4,303.34 and 2,183.88 is: 3,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.50 : 4,303.34 = 2,183.88 : x
  2. Step 2: Convert to fraction form
    2,874.50/4,303.34 = 2,183.88/x
  3. Step 3: Cross multiply
    2,874.50x = 4,303.34 × 2,183.88
  4. Step 4: Simplify right side
    2,874.50x = 9,397,978.16
  5. Step 5: Solve for x
    x = 9,397,978.16/2,874.50
  6. Step 6: Final answer
    x = 3,269.43

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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.