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Finding the Fourth Proportional to 2,471.83, 3,704.56 and 1,850.67

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Solution

The fourth proportional to 2,471.83, 3,704.56 and 1,850.67 is: 2,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.83 : 3,704.56 = 1,850.67 : x
  2. Step 2: Convert to fraction form
    2,471.83/3,704.56 = 1,850.67/x
  3. Step 3: Cross multiply
    2,471.83x = 3,704.56 × 1,850.67
  4. Step 4: Simplify right side
    2,471.83x = 6,855,918.06
  5. Step 5: Solve for x
    x = 6,855,918.06/2,471.83
  6. Step 6: Final answer
    x = 2,773.62

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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.