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Finding the Fourth Proportional to 3,196.49, 4,408.49 and 2,076.86

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Solution

The fourth proportional to 3,196.49, 4,408.49 and 2,076.86 is: 2,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.49 : 4,408.49 = 2,076.86 : x
  2. Step 2: Convert to fraction form
    3,196.49/4,408.49 = 2,076.86/x
  3. Step 3: Cross multiply
    3,196.49x = 4,408.49 × 2,076.86
  4. Step 4: Simplify right side
    3,196.49x = 9,155,832.75
  5. Step 5: Solve for x
    x = 9,155,832.75/3,196.49
  6. Step 6: Final answer
    x = 2,864.34

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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.