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Finding the Fourth Proportional to 2,450.20, 3,675.52 and 695.22

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Solution

The fourth proportional to 2,450.20, 3,675.52 and 695.22 is: 1,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.20 : 3,675.52 = 695.22 : x
  2. Step 2: Convert to fraction form
    2,450.20/3,675.52 = 695.22/x
  3. Step 3: Cross multiply
    2,450.20x = 3,675.52 × 695.22
  4. Step 4: Simplify right side
    2,450.20x = 2,555,295.01
  5. Step 5: Solve for x
    x = 2,555,295.01/2,450.20
  6. Step 6: Final answer
    x = 1,042.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.