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Finding the Fourth Proportional to 4,311.81, 6,462.49 and 1,968.60

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Solution

The fourth proportional to 4,311.81, 6,462.49 and 1,968.60 is: 2,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.81 : 6,462.49 = 1,968.60 : x
  2. Step 2: Convert to fraction form
    4,311.81/6,462.49 = 1,968.60/x
  3. Step 3: Cross multiply
    4,311.81x = 6,462.49 × 1,968.60
  4. Step 4: Simplify right side
    4,311.81x = 12,722,057.81
  5. Step 5: Solve for x
    x = 12,722,057.81/4,311.81
  6. Step 6: Final answer
    x = 2,950.51

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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.