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Finding the Fourth Proportional to 2,739.49, 4,109.46 and 984.31

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Solution

The fourth proportional to 2,739.49, 4,109.46 and 984.31 is: 1,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.49 : 4,109.46 = 984.31 : x
  2. Step 2: Convert to fraction form
    2,739.49/4,109.46 = 984.31/x
  3. Step 3: Cross multiply
    2,739.49x = 4,109.46 × 984.31
  4. Step 4: Simplify right side
    2,739.49x = 4,044,982.57
  5. Step 5: Solve for x
    x = 4,044,982.57/2,739.49
  6. Step 6: Final answer
    x = 1,476.55

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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.