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Finding the Fourth Proportional to 2,474.63, 3,414.98 and 1,370.63

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Solution

The fourth proportional to 2,474.63, 3,414.98 and 1,370.63 is: 1,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.63 : 3,414.98 = 1,370.63 : x
  2. Step 2: Convert to fraction form
    2,474.63/3,414.98 = 1,370.63/x
  3. Step 3: Cross multiply
    2,474.63x = 3,414.98 × 1,370.63
  4. Step 4: Simplify right side
    2,474.63x = 4,680,660.39
  5. Step 5: Solve for x
    x = 4,680,660.39/2,474.63
  6. Step 6: Final answer
    x = 1,891.46

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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.