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Finding the Fourth Proportional to 3,114.50, 4,672.02 and 806

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Solution

The fourth proportional to 3,114.50, 4,672.02 and 806 is: 1,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.50 : 4,672.02 = 806 : x
  2. Step 2: Convert to fraction form
    3,114.50/4,672.02 = 806/x
  3. Step 3: Cross multiply
    3,114.50x = 4,672.02 × 806
  4. Step 4: Simplify right side
    3,114.50x = 3,765,648.12
  5. Step 5: Solve for x
    x = 3,765,648.12/3,114.50
  6. Step 6: Final answer
    x = 1,209.07

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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.