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Finding the Fourth Proportional to 2,711.07, 4,066.88 and 736.73

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Solution

The fourth proportional to 2,711.07, 4,066.88 and 736.73 is: 1,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.07 : 4,066.88 = 736.73 : x
  2. Step 2: Convert to fraction form
    2,711.07/4,066.88 = 736.73/x
  3. Step 3: Cross multiply
    2,711.07x = 4,066.88 × 736.73
  4. Step 4: Simplify right side
    2,711.07x = 2,996,198.99
  5. Step 5: Solve for x
    x = 2,996,198.99/2,711.07
  6. Step 6: Final answer
    x = 1,105.17

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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.