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Finding the Fourth Proportional to 2,834.56, 4,244.03 and 2,139.16

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Solution

The fourth proportional to 2,834.56, 4,244.03 and 2,139.16 is: 3,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.56 : 4,244.03 = 2,139.16 : x
  2. Step 2: Convert to fraction form
    2,834.56/4,244.03 = 2,139.16/x
  3. Step 3: Cross multiply
    2,834.56x = 4,244.03 × 2,139.16
  4. Step 4: Simplify right side
    2,834.56x = 9,078,662.91
  5. Step 5: Solve for x
    x = 9,078,662.91/2,834.56
  6. Step 6: Final answer
    x = 3,202.85

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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.