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Finding the Fourth Proportional to 3,183.72, 4,776 and 1,334.40

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Solution

The fourth proportional to 3,183.72, 4,776 and 1,334.40 is: 2,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.72 : 4,776 = 1,334.40 : x
  2. Step 2: Convert to fraction form
    3,183.72/4,776 = 1,334.40/x
  3. Step 3: Cross multiply
    3,183.72x = 4,776 × 1,334.40
  4. Step 4: Simplify right side
    3,183.72x = 6,373,094.40
  5. Step 5: Solve for x
    x = 6,373,094.40/3,183.72
  6. Step 6: Final answer
    x = 2,001.78

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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.