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Finding the Fourth Proportional to 2,674.70, 4,012.48 and 825.38

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Solution

The fourth proportional to 2,674.70, 4,012.48 and 825.38 is: 1,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.70 : 4,012.48 = 825.38 : x
  2. Step 2: Convert to fraction form
    2,674.70/4,012.48 = 825.38/x
  3. Step 3: Cross multiply
    2,674.70x = 4,012.48 × 825.38
  4. Step 4: Simplify right side
    2,674.70x = 3,311,820.74
  5. Step 5: Solve for x
    x = 3,311,820.74/2,674.70
  6. Step 6: Final answer
    x = 1,238.21

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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.