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Finding the Fourth Proportional to 2,884.28, 4,327.02 and 1,713.83

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Solution

The fourth proportional to 2,884.28, 4,327.02 and 1,713.83 is: 2,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.28 : 4,327.02 = 1,713.83 : x
  2. Step 2: Convert to fraction form
    2,884.28/4,327.02 = 1,713.83/x
  3. Step 3: Cross multiply
    2,884.28x = 4,327.02 × 1,713.83
  4. Step 4: Simplify right side
    2,884.28x = 7,415,755.05
  5. Step 5: Solve for x
    x = 7,415,755.05/2,884.28
  6. Step 6: Final answer
    x = 2,571.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.