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Finding the Fourth Proportional to 2,884.56, 4,331.70 and 2,861.88

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Solution

The fourth proportional to 2,884.56, 4,331.70 and 2,861.88 is: 4,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.56 : 4,331.70 = 2,861.88 : x
  2. Step 2: Convert to fraction form
    2,884.56/4,331.70 = 2,861.88/x
  3. Step 3: Cross multiply
    2,884.56x = 4,331.70 × 2,861.88
  4. Step 4: Simplify right side
    2,884.56x = 12,396,805.60
  5. Step 5: Solve for x
    x = 12,396,805.60/2,884.56
  6. Step 6: Final answer
    x = 4,297.64

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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.