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Finding the Fourth Proportional to 2,983.33, 4,474.65 and 792.23

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Solution

The fourth proportional to 2,983.33, 4,474.65 and 792.23 is: 1,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.33 : 4,474.65 = 792.23 : x
  2. Step 2: Convert to fraction form
    2,983.33/4,474.65 = 792.23/x
  3. Step 3: Cross multiply
    2,983.33x = 4,474.65 × 792.23
  4. Step 4: Simplify right side
    2,983.33x = 3,544,951.97
  5. Step 5: Solve for x
    x = 3,544,951.97/2,983.33
  6. Step 6: Final answer
    x = 1,188.25

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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.