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Finding the Fourth Proportional to 2,554.94, 3,832.41 and 823.82

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Solution

The fourth proportional to 2,554.94, 3,832.41 and 823.82 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.94 : 3,832.41 = 823.82 : x
  2. Step 2: Convert to fraction form
    2,554.94/3,832.41 = 823.82/x
  3. Step 3: Cross multiply
    2,554.94x = 3,832.41 × 823.82
  4. Step 4: Simplify right side
    2,554.94x = 3,157,216.01
  5. Step 5: Solve for x
    x = 3,157,216.01/2,554.94
  6. Step 6: Final answer
    x = 1,235.73

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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.