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Finding the Fourth Proportional to 2,517.41, 3,473.94 and 1,398.38

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Solution

The fourth proportional to 2,517.41, 3,473.94 and 1,398.38 is: 1,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.41 : 3,473.94 = 1,398.38 : x
  2. Step 2: Convert to fraction form
    2,517.41/3,473.94 = 1,398.38/x
  3. Step 3: Cross multiply
    2,517.41x = 3,473.94 × 1,398.38
  4. Step 4: Simplify right side
    2,517.41x = 4,857,870.85
  5. Step 5: Solve for x
    x = 4,857,870.85/2,517.41
  6. Step 6: Final answer
    x = 1,929.71

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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.