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Finding the Fourth Proportional to 3,187.80, 4,782.15 and 996.30

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Solution

The fourth proportional to 3,187.80, 4,782.15 and 996.30 is: 1,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.80 : 4,782.15 = 996.30 : x
  2. Step 2: Convert to fraction form
    3,187.80/4,782.15 = 996.30/x
  3. Step 3: Cross multiply
    3,187.80x = 4,782.15 × 996.30
  4. Step 4: Simplify right side
    3,187.80x = 4,764,456.05
  5. Step 5: Solve for x
    x = 4,764,456.05/3,187.80
  6. Step 6: Final answer
    x = 1,494.59

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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.