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Finding the Fourth Proportional to 1,847.82, 2,548.83 and 1,185.11

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Solution

The fourth proportional to 1,847.82, 2,548.83 and 1,185.11 is: 1,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.82 : 2,548.83 = 1,185.11 : x
  2. Step 2: Convert to fraction form
    1,847.82/2,548.83 = 1,185.11/x
  3. Step 3: Cross multiply
    1,847.82x = 2,548.83 × 1,185.11
  4. Step 4: Simplify right side
    1,847.82x = 3,020,643.92
  5. Step 5: Solve for x
    x = 3,020,643.92/1,847.82
  6. Step 6: Final answer
    x = 1,634.71

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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.