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Finding the Fourth Proportional to 2,796.98, 3,859.89 and 1,538.18

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Solution

The fourth proportional to 2,796.98, 3,859.89 and 1,538.18 is: 2,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.98 : 3,859.89 = 1,538.18 : x
  2. Step 2: Convert to fraction form
    2,796.98/3,859.89 = 1,538.18/x
  3. Step 3: Cross multiply
    2,796.98x = 3,859.89 × 1,538.18
  4. Step 4: Simplify right side
    2,796.98x = 5,937,205.60
  5. Step 5: Solve for x
    x = 5,937,205.60/2,796.98
  6. Step 6: Final answer
    x = 2,122.72

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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.