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Finding the Fourth Proportional to 2,665.14, 3,996.18 and 815.76

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Solution

The fourth proportional to 2,665.14, 3,996.18 and 815.76 is: 1,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.14 : 3,996.18 = 815.76 : x
  2. Step 2: Convert to fraction form
    2,665.14/3,996.18 = 815.76/x
  3. Step 3: Cross multiply
    2,665.14x = 3,996.18 × 815.76
  4. Step 4: Simplify right side
    2,665.14x = 3,259,923.80
  5. Step 5: Solve for x
    x = 3,259,923.80/2,665.14
  6. Step 6: Final answer
    x = 1,223.17

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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.