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Finding the Fourth Proportional to 2,889.16, 4,333.20 and 809.26

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Solution

The fourth proportional to 2,889.16, 4,333.20 and 809.26 is: 1,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.16 : 4,333.20 = 809.26 : x
  2. Step 2: Convert to fraction form
    2,889.16/4,333.20 = 809.26/x
  3. Step 3: Cross multiply
    2,889.16x = 4,333.20 × 809.26
  4. Step 4: Simplify right side
    2,889.16x = 3,506,685.43
  5. Step 5: Solve for x
    x = 3,506,685.43/2,889.16
  6. Step 6: Final answer
    x = 1,213.74

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Why These Related Problems?

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