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Finding the Fourth Proportional to 2,096.68, 2,896.30 and 1,949.08

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Solution

The fourth proportional to 2,096.68, 2,896.30 and 1,949.08 is: 2,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.68 : 2,896.30 = 1,949.08 : x
  2. Step 2: Convert to fraction form
    2,096.68/2,896.30 = 1,949.08/x
  3. Step 3: Cross multiply
    2,096.68x = 2,896.30 × 1,949.08
  4. Step 4: Simplify right side
    2,096.68x = 5,645,120.40
  5. Step 5: Solve for x
    x = 5,645,120.40/2,096.68
  6. Step 6: Final answer
    x = 2,692.41

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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.