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Finding the Fourth Proportional to 1,993.78, 2,991.75 and 823.60

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Solution

The fourth proportional to 1,993.78, 2,991.75 and 823.60 is: 1,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.78 : 2,991.75 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,993.78/2,991.75 = 823.60/x
  3. Step 3: Cross multiply
    1,993.78x = 2,991.75 × 823.60
  4. Step 4: Simplify right side
    1,993.78x = 2,464,005.30
  5. Step 5: Solve for x
    x = 2,464,005.30/1,993.78
  6. Step 6: Final answer
    x = 1,235.85

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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.