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Finding the Fourth Proportional to 3,369.80, 5,051.49 and 1,177.94

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Solution

The fourth proportional to 3,369.80, 5,051.49 and 1,177.94 is: 1,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.80 : 5,051.49 = 1,177.94 : x
  2. Step 2: Convert to fraction form
    3,369.80/5,051.49 = 1,177.94/x
  3. Step 3: Cross multiply
    3,369.80x = 5,051.49 × 1,177.94
  4. Step 4: Simplify right side
    3,369.80x = 5,950,326.87
  5. Step 5: Solve for x
    x = 5,950,326.87/3,369.80
  6. Step 6: Final answer
    x = 1,765.78

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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.