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Finding the Fourth Proportional to 3,183.60, 4,780.80 and 2,362.80

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Solution

The fourth proportional to 3,183.60, 4,780.80 and 2,362.80 is: 3,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.60 : 4,780.80 = 2,362.80 : x
  2. Step 2: Convert to fraction form
    3,183.60/4,780.80 = 2,362.80/x
  3. Step 3: Cross multiply
    3,183.60x = 4,780.80 × 2,362.80
  4. Step 4: Simplify right side
    3,183.60x = 11,296,074.24
  5. Step 5: Solve for x
    x = 11,296,074.24/3,183.60
  6. Step 6: Final answer
    x = 3,548.21

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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.