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Finding the Fourth Proportional to 3,199.05, 4,414.86 and 1,872.86

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Solution

The fourth proportional to 3,199.05, 4,414.86 and 1,872.86 is: 2,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.05 : 4,414.86 = 1,872.86 : x
  2. Step 2: Convert to fraction form
    3,199.05/4,414.86 = 1,872.86/x
  3. Step 3: Cross multiply
    3,199.05x = 4,414.86 × 1,872.86
  4. Step 4: Simplify right side
    3,199.05x = 8,268,392.63
  5. Step 5: Solve for x
    x = 8,268,392.63/3,199.05
  6. Step 6: Final answer
    x = 2,584.64

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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.