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Finding the Fourth Proportional to 2,168.71, 2,993.29 and 1,371.98

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Solution

The fourth proportional to 2,168.71, 2,993.29 and 1,371.98 is: 1,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.71 : 2,993.29 = 1,371.98 : x
  2. Step 2: Convert to fraction form
    2,168.71/2,993.29 = 1,371.98/x
  3. Step 3: Cross multiply
    2,168.71x = 2,993.29 × 1,371.98
  4. Step 4: Simplify right side
    2,168.71x = 4,106,738.07
  5. Step 5: Solve for x
    x = 4,106,738.07/2,168.71
  6. Step 6: Final answer
    x = 1,893.63

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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.