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Finding the Fourth Proportional to 3,188.23, 4,782.31 and 996.95

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Solution

The fourth proportional to 3,188.23, 4,782.31 and 996.95 is: 1,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.23 : 4,782.31 = 996.95 : x
  2. Step 2: Convert to fraction form
    3,188.23/4,782.31 = 996.95/x
  3. Step 3: Cross multiply
    3,188.23x = 4,782.31 × 996.95
  4. Step 4: Simplify right side
    3,188.23x = 4,767,723.95
  5. Step 5: Solve for x
    x = 4,767,723.95/3,188.23
  6. Step 6: Final answer
    x = 1,495.41

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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.