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Finding the Fourth Proportional to 3,183.64, 4,773.15 and 2,141.06

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Solution

The fourth proportional to 3,183.64, 4,773.15 and 2,141.06 is: 3,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.64 : 4,773.15 = 2,141.06 : x
  2. Step 2: Convert to fraction form
    3,183.64/4,773.15 = 2,141.06/x
  3. Step 3: Cross multiply
    3,183.64x = 4,773.15 × 2,141.06
  4. Step 4: Simplify right side
    3,183.64x = 10,219,576.67
  5. Step 5: Solve for x
    x = 10,219,576.67/3,183.64
  6. Step 6: Final answer
    x = 3,210.03

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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.