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Finding the Fourth Proportional to 3,194.90, 4,407 and 2,249.02

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Solution

The fourth proportional to 3,194.90, 4,407 and 2,249.02 is: 3,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.90 : 4,407 = 2,249.02 : x
  2. Step 2: Convert to fraction form
    3,194.90/4,407 = 2,249.02/x
  3. Step 3: Cross multiply
    3,194.90x = 4,407 × 2,249.02
  4. Step 4: Simplify right side
    3,194.90x = 9,911,431.14
  5. Step 5: Solve for x
    x = 9,911,431.14/3,194.90
  6. Step 6: Final answer
    x = 3,102.27

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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.