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Finding the Fourth Proportional to 2,984.40, 4,476.24 and 793.28

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Solution

The fourth proportional to 2,984.40, 4,476.24 and 793.28 is: 1,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.40 : 4,476.24 = 793.28 : x
  2. Step 2: Convert to fraction form
    2,984.40/4,476.24 = 793.28/x
  3. Step 3: Cross multiply
    2,984.40x = 4,476.24 × 793.28
  4. Step 4: Simplify right side
    2,984.40x = 3,550,922.86
  5. Step 5: Solve for x
    x = 3,550,922.86/2,984.40
  6. Step 6: Final answer
    x = 1,189.83

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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.