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Finding the Fourth Proportional to 2,739.21, 4,108.46 and 984.12

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Solution

The fourth proportional to 2,739.21, 4,108.46 and 984.12 is: 1,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.21 : 4,108.46 = 984.12 : x
  2. Step 2: Convert to fraction form
    2,739.21/4,108.46 = 984.12/x
  3. Step 3: Cross multiply
    2,739.21x = 4,108.46 × 984.12
  4. Step 4: Simplify right side
    2,739.21x = 4,043,212.73
  5. Step 5: Solve for x
    x = 4,043,212.73/2,739.21
  6. Step 6: Final answer
    x = 1,476.05

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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.