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Finding the Fourth Proportional to 2,252.81, 3,379.05 and 791.98

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Solution

The fourth proportional to 2,252.81, 3,379.05 and 791.98 is: 1,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.81 : 3,379.05 = 791.98 : x
  2. Step 2: Convert to fraction form
    2,252.81/3,379.05 = 791.98/x
  3. Step 3: Cross multiply
    2,252.81x = 3,379.05 × 791.98
  4. Step 4: Simplify right side
    2,252.81x = 2,676,131.57
  5. Step 5: Solve for x
    x = 2,676,131.57/2,252.81
  6. Step 6: Final answer
    x = 1,187.91

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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.