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Finding the Fourth Proportional to 3,176.06, 4,764.34 and 984.80

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Solution

The fourth proportional to 3,176.06, 4,764.34 and 984.80 is: 1,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.06 : 4,764.34 = 984.80 : x
  2. Step 2: Convert to fraction form
    3,176.06/4,764.34 = 984.80/x
  3. Step 3: Cross multiply
    3,176.06x = 4,764.34 × 984.80
  4. Step 4: Simplify right side
    3,176.06x = 4,691,922.03
  5. Step 5: Solve for x
    x = 4,691,922.03/3,176.06
  6. Step 6: Final answer
    x = 1,477.28

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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.