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Finding the Fourth Proportional to 2,193.81, 3,027.44 and 1,199.06

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Solution

The fourth proportional to 2,193.81, 3,027.44 and 1,199.06 is: 1,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.81 : 3,027.44 = 1,199.06 : x
  2. Step 2: Convert to fraction form
    2,193.81/3,027.44 = 1,199.06/x
  3. Step 3: Cross multiply
    2,193.81x = 3,027.44 × 1,199.06
  4. Step 4: Simplify right side
    2,193.81x = 3,630,082.21
  5. Step 5: Solve for x
    x = 3,630,082.21/2,193.81
  6. Step 6: Final answer
    x = 1,654.69

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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.