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Finding the Fourth Proportional to 3,311.08, 4,964.49 and 1,231.00

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Solution

The fourth proportional to 3,311.08, 4,964.49 and 1,231.00 is: 1,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.08 : 4,964.49 = 1,231.00 : x
  2. Step 2: Convert to fraction form
    3,311.08/4,964.49 = 1,231.00/x
  3. Step 3: Cross multiply
    3,311.08x = 4,964.49 × 1,231.00
  4. Step 4: Simplify right side
    3,311.08x = 6,111,274.78
  5. Step 5: Solve for x
    x = 6,111,274.78/3,311.08
  6. Step 6: Final answer
    x = 1,845.71

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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.