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Finding the Fourth Proportional to 1,919.63, 2,653.82 and 1,902.09

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Solution

The fourth proportional to 1,919.63, 2,653.82 and 1,902.09 is: 2,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.63 : 2,653.82 = 1,902.09 : x
  2. Step 2: Convert to fraction form
    1,919.63/2,653.82 = 1,902.09/x
  3. Step 3: Cross multiply
    1,919.63x = 2,653.82 × 1,902.09
  4. Step 4: Simplify right side
    1,919.63x = 5,047,794.97
  5. Step 5: Solve for x
    x = 5,047,794.97/1,919.63
  6. Step 6: Final answer
    x = 2,629.56

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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.