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Finding the Fourth Proportional to 2,474.34, 3,414.96 and 1,426.20

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Solution

The fourth proportional to 2,474.34, 3,414.96 and 1,426.20 is: 1,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.34 : 3,414.96 = 1,426.20 : x
  2. Step 2: Convert to fraction form
    2,474.34/3,414.96 = 1,426.20/x
  3. Step 3: Cross multiply
    2,474.34x = 3,414.96 × 1,426.20
  4. Step 4: Simplify right side
    2,474.34x = 4,870,415.95
  5. Step 5: Solve for x
    x = 4,870,415.95/2,474.34
  6. Step 6: Final answer
    x = 1,968.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.