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Finding the Fourth Proportional to 2,194, 3,027.59 and 1,199.08

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Solution

The fourth proportional to 2,194, 3,027.59 and 1,199.08 is: 1,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,027.59 = 1,199.08 : x
  2. Step 2: Convert to fraction form
    2,194/3,027.59 = 1,199.08/x
  3. Step 3: Cross multiply
    2,194x = 3,027.59 × 1,199.08
  4. Step 4: Simplify right side
    2,194x = 3,630,322.62
  5. Step 5: Solve for x
    x = 3,630,322.62/2,194
  6. Step 6: Final answer
    x = 1,654.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.