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Finding the Fourth Proportional to 3,183.71, 4,775.57 and 1,209.34

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Solution

The fourth proportional to 3,183.71, 4,775.57 and 1,209.34 is: 1,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.71 : 4,775.57 = 1,209.34 : x
  2. Step 2: Convert to fraction form
    3,183.71/4,775.57 = 1,209.34/x
  3. Step 3: Cross multiply
    3,183.71x = 4,775.57 × 1,209.34
  4. Step 4: Simplify right side
    3,183.71x = 5,775,302.61
  5. Step 5: Solve for x
    x = 5,775,302.61/3,183.71
  6. Step 6: Final answer
    x = 1,814.01

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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.