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Finding the Fourth Proportional to 2,662.81, 3,994.80 and 814.06

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Solution

The fourth proportional to 2,662.81, 3,994.80 and 814.06 is: 1,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.81 : 3,994.80 = 814.06 : x
  2. Step 2: Convert to fraction form
    2,662.81/3,994.80 = 814.06/x
  3. Step 3: Cross multiply
    2,662.81x = 3,994.80 × 814.06
  4. Step 4: Simplify right side
    2,662.81x = 3,252,006.89
  5. Step 5: Solve for x
    x = 3,252,006.89/2,662.81
  6. Step 6: Final answer
    x = 1,221.27

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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.