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Finding the Fourth Proportional to 2,768.01, 4,147.39 and 1,944.81

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Solution

The fourth proportional to 2,768.01, 4,147.39 and 1,944.81 is: 2,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.01 : 4,147.39 = 1,944.81 : x
  2. Step 2: Convert to fraction form
    2,768.01/4,147.39 = 1,944.81/x
  3. Step 3: Cross multiply
    2,768.01x = 4,147.39 × 1,944.81
  4. Step 4: Simplify right side
    2,768.01x = 8,065,865.13
  5. Step 5: Solve for x
    x = 8,065,865.13/2,768.01
  6. Step 6: Final answer
    x = 2,913.96

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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.