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Finding the Fourth Proportional to 3,177.19, 4,768.82 and 1,327.82

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Solution

The fourth proportional to 3,177.19, 4,768.82 and 1,327.82 is: 1,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.19 : 4,768.82 = 1,327.82 : x
  2. Step 2: Convert to fraction form
    3,177.19/4,768.82 = 1,327.82/x
  3. Step 3: Cross multiply
    3,177.19x = 4,768.82 × 1,327.82
  4. Step 4: Simplify right side
    3,177.19x = 6,332,114.05
  5. Step 5: Solve for x
    x = 6,332,114.05/3,177.19
  6. Step 6: Final answer
    x = 1,992.99

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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.