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Finding the Fourth Proportional to 2,889.21, 4,332.90 and 809.05

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Solution

The fourth proportional to 2,889.21, 4,332.90 and 809.05 is: 1,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.21 : 4,332.90 = 809.05 : x
  2. Step 2: Convert to fraction form
    2,889.21/4,332.90 = 809.05/x
  3. Step 3: Cross multiply
    2,889.21x = 4,332.90 × 809.05
  4. Step 4: Simplify right side
    2,889.21x = 3,505,532.75
  5. Step 5: Solve for x
    x = 3,505,532.75/2,889.21
  6. Step 6: Final answer
    x = 1,213.32

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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.