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Finding the Fourth Proportional to 2,773.35, 4,160 and 799.03

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Solution

The fourth proportional to 2,773.35, 4,160 and 799.03 is: 1,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.35 : 4,160 = 799.03 : x
  2. Step 2: Convert to fraction form
    2,773.35/4,160 = 799.03/x
  3. Step 3: Cross multiply
    2,773.35x = 4,160 × 799.03
  4. Step 4: Simplify right side
    2,773.35x = 3,323,944
  5. Step 5: Solve for x
    x = 3,323,944/2,773.35
  6. Step 6: Final answer
    x = 1,198.53

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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.