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Finding the Fourth Proportional to 2,626.14, 3,939.23 and 982.83

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Solution

The fourth proportional to 2,626.14, 3,939.23 and 982.83 is: 1,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.14 : 3,939.23 = 982.83 : x
  2. Step 2: Convert to fraction form
    2,626.14/3,939.23 = 982.83/x
  3. Step 3: Cross multiply
    2,626.14x = 3,939.23 × 982.83
  4. Step 4: Simplify right side
    2,626.14x = 3,871,593.42
  5. Step 5: Solve for x
    x = 3,871,593.42/2,626.14
  6. Step 6: Final answer
    x = 1,474.25

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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.