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Finding the Fourth Proportional to 2,996.06, 4,493.74 and 804.95

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Solution

The fourth proportional to 2,996.06, 4,493.74 and 804.95 is: 1,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.06 : 4,493.74 = 804.95 : x
  2. Step 2: Convert to fraction form
    2,996.06/4,493.74 = 804.95/x
  3. Step 3: Cross multiply
    2,996.06x = 4,493.74 × 804.95
  4. Step 4: Simplify right side
    2,996.06x = 3,617,236.01
  5. Step 5: Solve for x
    x = 3,617,236.01/2,996.06
  6. Step 6: Final answer
    x = 1,207.33

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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.