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Finding the Fourth Proportional to 1,838.81, 2,741.73 and 1,806.01

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Solution

The fourth proportional to 1,838.81, 2,741.73 and 1,806.01 is: 2,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.81 : 2,741.73 = 1,806.01 : x
  2. Step 2: Convert to fraction form
    1,838.81/2,741.73 = 1,806.01/x
  3. Step 3: Cross multiply
    1,838.81x = 2,741.73 × 1,806.01
  4. Step 4: Simplify right side
    1,838.81x = 4,951,591.80
  5. Step 5: Solve for x
    x = 4,951,591.80/1,838.81
  6. Step 6: Final answer
    x = 2,692.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.