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Finding the Fourth Proportional to 2,193.80, 3,027.40 and 1,199.06

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Solution

The fourth proportional to 2,193.80, 3,027.40 and 1,199.06 is: 1,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.80 : 3,027.40 = 1,199.06 : x
  2. Step 2: Convert to fraction form
    2,193.80/3,027.40 = 1,199.06/x
  3. Step 3: Cross multiply
    2,193.80x = 3,027.40 × 1,199.06
  4. Step 4: Simplify right side
    2,193.80x = 3,630,034.24
  5. Step 5: Solve for x
    x = 3,630,034.24/2,193.80
  6. Step 6: Final answer
    x = 1,654.68

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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.