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Finding the Fourth Proportional to 1,825, 2,738.64 and 799

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Solution

The fourth proportional to 1,825, 2,738.64 and 799 is: 1,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825 : 2,738.64 = 799 : x
  2. Step 2: Convert to fraction form
    1,825/2,738.64 = 799/x
  3. Step 3: Cross multiply
    1,825x = 2,738.64 × 799
  4. Step 4: Simplify right side
    1,825x = 2,188,173.36
  5. Step 5: Solve for x
    x = 2,188,173.36/1,825
  6. Step 6: Final answer
    x = 1,199.00

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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.