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Finding the Fourth Proportional to 3,382.41, 4,662.15 and 2,262.95

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Solution

The fourth proportional to 3,382.41, 4,662.15 and 2,262.95 is: 3,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.41 : 4,662.15 = 2,262.95 : x
  2. Step 2: Convert to fraction form
    3,382.41/4,662.15 = 2,262.95/x
  3. Step 3: Cross multiply
    3,382.41x = 4,662.15 × 2,262.95
  4. Step 4: Simplify right side
    3,382.41x = 10,550,189.03
  5. Step 5: Solve for x
    x = 10,550,189.03/3,382.41
  6. Step 6: Final answer
    x = 3,119.13

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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.