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Finding the Fourth Proportional to 3,311.62, 4,969.41 and 1,231.81

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Solution

The fourth proportional to 3,311.62, 4,969.41 and 1,231.81 is: 1,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.62 : 4,969.41 = 1,231.81 : x
  2. Step 2: Convert to fraction form
    3,311.62/4,969.41 = 1,231.81/x
  3. Step 3: Cross multiply
    3,311.62x = 4,969.41 × 1,231.81
  4. Step 4: Simplify right side
    3,311.62x = 6,121,368.93
  5. Step 5: Solve for x
    x = 6,121,368.93/3,311.62
  6. Step 6: Final answer
    x = 1,848.45

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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.