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Finding the Fourth Proportional to 2,997.23, 4,495.83 and 805.77

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Solution

The fourth proportional to 2,997.23, 4,495.83 and 805.77 is: 1,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.23 : 4,495.83 = 805.77 : x
  2. Step 2: Convert to fraction form
    2,997.23/4,495.83 = 805.77/x
  3. Step 3: Cross multiply
    2,997.23x = 4,495.83 × 805.77
  4. Step 4: Simplify right side
    2,997.23x = 3,622,604.94
  5. Step 5: Solve for x
    x = 3,622,604.94/2,997.23
  6. Step 6: Final answer
    x = 1,208.65

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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.