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Finding the Fourth Proportional to 2,847.25, 4,270.74 and 899.20

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Solution

The fourth proportional to 2,847.25, 4,270.74 and 899.20 is: 1,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.25 : 4,270.74 = 899.20 : x
  2. Step 2: Convert to fraction form
    2,847.25/4,270.74 = 899.20/x
  3. Step 3: Cross multiply
    2,847.25x = 4,270.74 × 899.20
  4. Step 4: Simplify right side
    2,847.25x = 3,840,249.41
  5. Step 5: Solve for x
    x = 3,840,249.41/2,847.25
  6. Step 6: Final answer
    x = 1,348.76

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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.