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Finding the Fourth Proportional to 2,651.94, 3,661.83 and 2,371.68

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Solution

The fourth proportional to 2,651.94, 3,661.83 and 2,371.68 is: 3,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.94 : 3,661.83 = 2,371.68 : x
  2. Step 2: Convert to fraction form
    2,651.94/3,661.83 = 2,371.68/x
  3. Step 3: Cross multiply
    2,651.94x = 3,661.83 × 2,371.68
  4. Step 4: Simplify right side
    2,651.94x = 8,684,688.97
  5. Step 5: Solve for x
    x = 8,684,688.97/2,651.94
  6. Step 6: Final answer
    x = 3,274.84

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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.