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Finding the Fourth Proportional to 2,756.99, 4,134.86 and 809.34

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Solution

The fourth proportional to 2,756.99, 4,134.86 and 809.34 is: 1,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.99 : 4,134.86 = 809.34 : x
  2. Step 2: Convert to fraction form
    2,756.99/4,134.86 = 809.34/x
  3. Step 3: Cross multiply
    2,756.99x = 4,134.86 × 809.34
  4. Step 4: Simplify right side
    2,756.99x = 3,346,503.55
  5. Step 5: Solve for x
    x = 3,346,503.55/2,756.99
  6. Step 6: Final answer
    x = 1,213.83

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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.