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Finding the Fourth Proportional to 3,183.01, 4,774.74 and 1,333.86

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Solution

The fourth proportional to 3,183.01, 4,774.74 and 1,333.86 is: 2,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.01 : 4,774.74 = 1,333.86 : x
  2. Step 2: Convert to fraction form
    3,183.01/4,774.74 = 1,333.86/x
  3. Step 3: Cross multiply
    3,183.01x = 4,774.74 × 1,333.86
  4. Step 4: Simplify right side
    3,183.01x = 6,368,821.79
  5. Step 5: Solve for x
    x = 6,368,821.79/3,183.01
  6. Step 6: Final answer
    x = 2,000.88

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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.