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Finding the Fourth Proportional to 2,889.84, 4,334.72 and 809.79

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Solution

The fourth proportional to 2,889.84, 4,334.72 and 809.79 is: 1,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.84 : 4,334.72 = 809.79 : x
  2. Step 2: Convert to fraction form
    2,889.84/4,334.72 = 809.79/x
  3. Step 3: Cross multiply
    2,889.84x = 4,334.72 × 809.79
  4. Step 4: Simplify right side
    2,889.84x = 3,510,208.86
  5. Step 5: Solve for x
    x = 3,510,208.86/2,889.84
  6. Step 6: Final answer
    x = 1,214.67

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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.