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Finding the Fourth Proportional to 2,626.40, 3,940.19 and 982.97

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Solution

The fourth proportional to 2,626.40, 3,940.19 and 982.97 is: 1,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.40 : 3,940.19 = 982.97 : x
  2. Step 2: Convert to fraction form
    2,626.40/3,940.19 = 982.97/x
  3. Step 3: Cross multiply
    2,626.40x = 3,940.19 × 982.97
  4. Step 4: Simplify right side
    2,626.40x = 3,873,071.32
  5. Step 5: Solve for x
    x = 3,873,071.32/2,626.40
  6. Step 6: Final answer
    x = 1,474.67

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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.