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Finding the Fourth Proportional to 2,674.44, 4,012.20 and 942.84

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Solution

The fourth proportional to 2,674.44, 4,012.20 and 942.84 is: 1,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.44 : 4,012.20 = 942.84 : x
  2. Step 2: Convert to fraction form
    2,674.44/4,012.20 = 942.84/x
  3. Step 3: Cross multiply
    2,674.44x = 4,012.20 × 942.84
  4. Step 4: Simplify right side
    2,674.44x = 3,782,862.65
  5. Step 5: Solve for x
    x = 3,782,862.65/2,674.44
  6. Step 6: Final answer
    x = 1,414.45

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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.