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Finding the Fourth Proportional to 3,311.99, 4,968.11 and 1,667.64

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Solution

The fourth proportional to 3,311.99, 4,968.11 and 1,667.64 is: 2,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.99 : 4,968.11 = 1,667.64 : x
  2. Step 2: Convert to fraction form
    3,311.99/4,968.11 = 1,667.64/x
  3. Step 3: Cross multiply
    3,311.99x = 4,968.11 × 1,667.64
  4. Step 4: Simplify right side
    3,311.99x = 8,285,010.62
  5. Step 5: Solve for x
    x = 8,285,010.62/3,311.99
  6. Step 6: Final answer
    x = 2,501.52

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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.