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Finding the Fourth Proportional to 2,013.85, 3,022.13 and 1,847.08

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Solution

The fourth proportional to 2,013.85, 3,022.13 and 1,847.08 is: 2,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.85 : 3,022.13 = 1,847.08 : x
  2. Step 2: Convert to fraction form
    2,013.85/3,022.13 = 1,847.08/x
  3. Step 3: Cross multiply
    2,013.85x = 3,022.13 × 1,847.08
  4. Step 4: Simplify right side
    2,013.85x = 5,582,115.88
  5. Step 5: Solve for x
    x = 5,582,115.88/2,013.85
  6. Step 6: Final answer
    x = 2,771.86

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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.