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Finding the Fourth Proportional to 3,382.91, 4,662.84 and 2,263.45

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Solution

The fourth proportional to 3,382.91, 4,662.84 and 2,263.45 is: 3,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.91 : 4,662.84 = 2,263.45 : x
  2. Step 2: Convert to fraction form
    3,382.91/4,662.84 = 2,263.45/x
  3. Step 3: Cross multiply
    3,382.91x = 4,662.84 × 2,263.45
  4. Step 4: Simplify right side
    3,382.91x = 10,554,105.20
  5. Step 5: Solve for x
    x = 10,554,105.20/3,382.91
  6. Step 6: Final answer
    x = 3,119.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.