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Finding the Fourth Proportional to 2,964.39, 4,443.42 and 2,231.70

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Solution

The fourth proportional to 2,964.39, 4,443.42 and 2,231.70 is: 3,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.39 : 4,443.42 = 2,231.70 : x
  2. Step 2: Convert to fraction form
    2,964.39/4,443.42 = 2,231.70/x
  3. Step 3: Cross multiply
    2,964.39x = 4,443.42 × 2,231.70
  4. Step 4: Simplify right side
    2,964.39x = 9,916,380.41
  5. Step 5: Solve for x
    x = 9,916,380.41/2,964.39
  6. Step 6: Final answer
    x = 3,345.17

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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.