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Finding the Fourth Proportional to 2,984.07, 4,476.21 and 792.80

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Solution

The fourth proportional to 2,984.07, 4,476.21 and 792.80 is: 1,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.07 : 4,476.21 = 792.80 : x
  2. Step 2: Convert to fraction form
    2,984.07/4,476.21 = 792.80/x
  3. Step 3: Cross multiply
    2,984.07x = 4,476.21 × 792.80
  4. Step 4: Simplify right side
    2,984.07x = 3,548,760.36
  5. Step 5: Solve for x
    x = 3,548,760.36/2,984.07
  6. Step 6: Final answer
    x = 1,189.23

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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.