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Finding the Fourth Proportional to 2,214.72, 3,321.29 and 808.76

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Solution

The fourth proportional to 2,214.72, 3,321.29 and 808.76 is: 1,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.72 : 3,321.29 = 808.76 : x
  2. Step 2: Convert to fraction form
    2,214.72/3,321.29 = 808.76/x
  3. Step 3: Cross multiply
    2,214.72x = 3,321.29 × 808.76
  4. Step 4: Simplify right side
    2,214.72x = 2,686,105.85
  5. Step 5: Solve for x
    x = 2,686,105.85/2,214.72
  6. Step 6: Final answer
    x = 1,212.84

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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.