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Finding the Fourth Proportional to 2,701.41, 3,722.89 and 1,954.08

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Solution

The fourth proportional to 2,701.41, 3,722.89 and 1,954.08 is: 2,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.41 : 3,722.89 = 1,954.08 : x
  2. Step 2: Convert to fraction form
    2,701.41/3,722.89 = 1,954.08/x
  3. Step 3: Cross multiply
    2,701.41x = 3,722.89 × 1,954.08
  4. Step 4: Simplify right side
    2,701.41x = 7,274,824.89
  5. Step 5: Solve for x
    x = 7,274,824.89/2,701.41
  6. Step 6: Final answer
    x = 2,692.97

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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.