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Finding the Fourth Proportional to 2,774.70, 4,161.42 and 799.88

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Solution

The fourth proportional to 2,774.70, 4,161.42 and 799.88 is: 1,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.70 : 4,161.42 = 799.88 : x
  2. Step 2: Convert to fraction form
    2,774.70/4,161.42 = 799.88/x
  3. Step 3: Cross multiply
    2,774.70x = 4,161.42 × 799.88
  4. Step 4: Simplify right side
    2,774.70x = 3,328,636.63
  5. Step 5: Solve for x
    x = 3,328,636.63/2,774.70
  6. Step 6: Final answer
    x = 1,199.64

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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.