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Finding the Fourth Proportional to 2,202.61, 3,303.91 and 663.61

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Solution

The fourth proportional to 2,202.61, 3,303.91 and 663.61 is: 995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.61 : 3,303.91 = 663.61 : x
  2. Step 2: Convert to fraction form
    2,202.61/3,303.91 = 663.61/x
  3. Step 3: Cross multiply
    2,202.61x = 3,303.91 × 663.61
  4. Step 4: Simplify right side
    2,202.61x = 2,192,508.35
  5. Step 5: Solve for x
    x = 2,192,508.35/2,202.61
  6. Step 6: Final answer
    x = 995.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.