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Finding the Fourth Proportional to 2,889.64, 4,334.08 and 809.80

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Solution

The fourth proportional to 2,889.64, 4,334.08 and 809.80 is: 1,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.64 : 4,334.08 = 809.80 : x
  2. Step 2: Convert to fraction form
    2,889.64/4,334.08 = 809.80/x
  3. Step 3: Cross multiply
    2,889.64x = 4,334.08 × 809.80
  4. Step 4: Simplify right side
    2,889.64x = 3,509,737.98
  5. Step 5: Solve for x
    x = 3,509,737.98/2,889.64
  6. Step 6: Final answer
    x = 1,214.59

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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.