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Finding the Fourth Proportional to 2,049.61, 3,074.75 and 663.29

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Solution

The fourth proportional to 2,049.61, 3,074.75 and 663.29 is: 995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.61 : 3,074.75 = 663.29 : x
  2. Step 2: Convert to fraction form
    2,049.61/3,074.75 = 663.29/x
  3. Step 3: Cross multiply
    2,049.61x = 3,074.75 × 663.29
  4. Step 4: Simplify right side
    2,049.61x = 2,039,456.96
  5. Step 5: Solve for x
    x = 2,039,456.96/2,049.61
  6. Step 6: Final answer
    x = 995.05

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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.