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Finding the Fourth Proportional to 2,450.56, 3,675.06 and 806.20

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Solution

The fourth proportional to 2,450.56, 3,675.06 and 806.20 is: 1,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.56 : 3,675.06 = 806.20 : x
  2. Step 2: Convert to fraction form
    2,450.56/3,675.06 = 806.20/x
  3. Step 3: Cross multiply
    2,450.56x = 3,675.06 × 806.20
  4. Step 4: Simplify right side
    2,450.56x = 2,962,833.37
  5. Step 5: Solve for x
    x = 2,962,833.37/2,450.56
  6. Step 6: Final answer
    x = 1,209.04

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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.