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Finding the Fourth Proportional to 2,193.86, 3,027.37 and 1,199.13

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Solution

The fourth proportional to 2,193.86, 3,027.37 and 1,199.13 is: 1,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.86 : 3,027.37 = 1,199.13 : x
  2. Step 2: Convert to fraction form
    2,193.86/3,027.37 = 1,199.13/x
  3. Step 3: Cross multiply
    2,193.86x = 3,027.37 × 1,199.13
  4. Step 4: Simplify right side
    2,193.86x = 3,630,210.19
  5. Step 5: Solve for x
    x = 3,630,210.19/2,193.86
  6. Step 6: Final answer
    x = 1,654.71

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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.