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Finding the Fourth Proportional to 2,663.82, 3,994.92 and 814.59

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Solution

The fourth proportional to 2,663.82, 3,994.92 and 814.59 is: 1,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.82 : 3,994.92 = 814.59 : x
  2. Step 2: Convert to fraction form
    2,663.82/3,994.92 = 814.59/x
  3. Step 3: Cross multiply
    2,663.82x = 3,994.92 × 814.59
  4. Step 4: Simplify right side
    2,663.82x = 3,254,221.88
  5. Step 5: Solve for x
    x = 3,254,221.88/2,663.82
  6. Step 6: Final answer
    x = 1,221.64

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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.