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Finding the Fourth Proportional to 3,084.39, 4,626.57 and 775.89

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Solution

The fourth proportional to 3,084.39, 4,626.57 and 775.89 is: 1,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.39 : 4,626.57 = 775.89 : x
  2. Step 2: Convert to fraction form
    3,084.39/4,626.57 = 775.89/x
  3. Step 3: Cross multiply
    3,084.39x = 4,626.57 × 775.89
  4. Step 4: Simplify right side
    3,084.39x = 3,589,709.40
  5. Step 5: Solve for x
    x = 3,589,709.40/3,084.39
  6. Step 6: Final answer
    x = 1,163.83

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1.5x scale

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.