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Finding the Fourth Proportional to 2,797.09, 3,859.75 and 1,538.08

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Solution

The fourth proportional to 2,797.09, 3,859.75 and 1,538.08 is: 2,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.09 : 3,859.75 = 1,538.08 : x
  2. Step 2: Convert to fraction form
    2,797.09/3,859.75 = 1,538.08/x
  3. Step 3: Cross multiply
    2,797.09x = 3,859.75 × 1,538.08
  4. Step 4: Simplify right side
    2,797.09x = 5,936,604.28
  5. Step 5: Solve for x
    x = 5,936,604.28/2,797.09
  6. Step 6: Final answer
    x = 2,122.42

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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.