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Finding the Fourth Proportional to 2,270.18, 3,404.50 and 789.01

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Solution

The fourth proportional to 2,270.18, 3,404.50 and 789.01 is: 1,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.18 : 3,404.50 = 789.01 : x
  2. Step 2: Convert to fraction form
    2,270.18/3,404.50 = 789.01/x
  3. Step 3: Cross multiply
    2,270.18x = 3,404.50 × 789.01
  4. Step 4: Simplify right side
    2,270.18x = 2,686,190.09
  5. Step 5: Solve for x
    x = 2,686,190.09/2,270.18
  6. Step 6: Final answer
    x = 1,183.25

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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.