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Finding the Fourth Proportional to 2,193.48, 3,027.00 and 1,198.77

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Solution

The fourth proportional to 2,193.48, 3,027.00 and 1,198.77 is: 1,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.48 : 3,027.00 = 1,198.77 : x
  2. Step 2: Convert to fraction form
    2,193.48/3,027.00 = 1,198.77/x
  3. Step 3: Cross multiply
    2,193.48x = 3,027.00 × 1,198.77
  4. Step 4: Simplify right side
    2,193.48x = 3,628,669.93
  5. Step 5: Solve for x
    x = 3,628,669.93/2,193.48
  6. Step 6: Final answer
    x = 1,654.30

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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.