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Finding the Fourth Proportional to 2,207.03, 3,311.12 and 820.77

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Solution

The fourth proportional to 2,207.03, 3,311.12 and 820.77 is: 1,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.03 : 3,311.12 = 820.77 : x
  2. Step 2: Convert to fraction form
    2,207.03/3,311.12 = 820.77/x
  3. Step 3: Cross multiply
    2,207.03x = 3,311.12 × 820.77
  4. Step 4: Simplify right side
    2,207.03x = 2,717,663.86
  5. Step 5: Solve for x
    x = 2,717,663.86/2,207.03
  6. Step 6: Final answer
    x = 1,231.37

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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.