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Finding the Fourth Proportional to 2,884.64, 3,979.20 and 2,000.96

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Solution

The fourth proportional to 2,884.64, 3,979.20 and 2,000.96 is: 2,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.64 : 3,979.20 = 2,000.96 : x
  2. Step 2: Convert to fraction form
    2,884.64/3,979.20 = 2,000.96/x
  3. Step 3: Cross multiply
    2,884.64x = 3,979.20 × 2,000.96
  4. Step 4: Simplify right side
    2,884.64x = 7,962,220.03
  5. Step 5: Solve for x
    x = 7,962,220.03/2,884.64
  6. Step 6: Final answer
    x = 2,760.21

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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.