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Finding the Fourth Proportional to 2,639.94, 3,640.63 and 1,969.23

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Solution

The fourth proportional to 2,639.94, 3,640.63 and 1,969.23 is: 2,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.94 : 3,640.63 = 1,969.23 : x
  2. Step 2: Convert to fraction form
    2,639.94/3,640.63 = 1,969.23/x
  3. Step 3: Cross multiply
    2,639.94x = 3,640.63 × 1,969.23
  4. Step 4: Simplify right side
    2,639.94x = 7,169,237.81
  5. Step 5: Solve for x
    x = 7,169,237.81/2,639.94
  6. Step 6: Final answer
    x = 2,715.68

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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.