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Finding the Fourth Proportional to 2,797.03, 3,859.82 and 1,538.09

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Solution

The fourth proportional to 2,797.03, 3,859.82 and 1,538.09 is: 2,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.03 : 3,859.82 = 1,538.09 : x
  2. Step 2: Convert to fraction form
    2,797.03/3,859.82 = 1,538.09/x
  3. Step 3: Cross multiply
    2,797.03x = 3,859.82 × 1,538.09
  4. Step 4: Simplify right side
    2,797.03x = 5,936,731.24
  5. Step 5: Solve for x
    x = 5,936,731.24/2,797.03
  6. Step 6: Final answer
    x = 2,122.51

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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.