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Finding the Fourth Proportional to 2,647.98, 3,969.96 and 1,261.38

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Solution

The fourth proportional to 2,647.98, 3,969.96 and 1,261.38 is: 1,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.98 : 3,969.96 = 1,261.38 : x
  2. Step 2: Convert to fraction form
    2,647.98/3,969.96 = 1,261.38/x
  3. Step 3: Cross multiply
    2,647.98x = 3,969.96 × 1,261.38
  4. Step 4: Simplify right side
    2,647.98x = 5,007,628.14
  5. Step 5: Solve for x
    x = 5,007,628.14/2,647.98
  6. Step 6: Final answer
    x = 1,891.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.