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Finding the Fourth Proportional to 3,097.96, 4,647 and 789.46

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Solution

The fourth proportional to 3,097.96, 4,647 and 789.46 is: 1,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.96 : 4,647 = 789.46 : x
  2. Step 2: Convert to fraction form
    3,097.96/4,647 = 789.46/x
  3. Step 3: Cross multiply
    3,097.96x = 4,647 × 789.46
  4. Step 4: Simplify right side
    3,097.96x = 3,668,620.62
  5. Step 5: Solve for x
    x = 3,668,620.62/3,097.96
  6. Step 6: Final answer
    x = 1,184.21

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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.