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Finding the Fourth Proportional to 3,177.96, 4,768.30 and 1,329.44

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Solution

The fourth proportional to 3,177.96, 4,768.30 and 1,329.44 is: 1,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.96 : 4,768.30 = 1,329.44 : x
  2. Step 2: Convert to fraction form
    3,177.96/4,768.30 = 1,329.44/x
  3. Step 3: Cross multiply
    3,177.96x = 4,768.30 × 1,329.44
  4. Step 4: Simplify right side
    3,177.96x = 6,339,168.75
  5. Step 5: Solve for x
    x = 6,339,168.75/3,177.96
  6. Step 6: Final answer
    x = 1,994.73

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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.