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Finding the Fourth Proportional to 2,441.87, 3,661.58 and 798.23

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Solution

The fourth proportional to 2,441.87, 3,661.58 and 798.23 is: 1,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.87 : 3,661.58 = 798.23 : x
  2. Step 2: Convert to fraction form
    2,441.87/3,661.58 = 798.23/x
  3. Step 3: Cross multiply
    2,441.87x = 3,661.58 × 798.23
  4. Step 4: Simplify right side
    2,441.87x = 2,922,760.70
  5. Step 5: Solve for x
    x = 2,922,760.70/2,441.87
  6. Step 6: Final answer
    x = 1,196.94

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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.