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Finding the Fourth Proportional to 2,522.61, 3,481.11 and 1,474.65

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Solution

The fourth proportional to 2,522.61, 3,481.11 and 1,474.65 is: 2,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.61 : 3,481.11 = 1,474.65 : x
  2. Step 2: Convert to fraction form
    2,522.61/3,481.11 = 1,474.65/x
  3. Step 3: Cross multiply
    2,522.61x = 3,481.11 × 1,474.65
  4. Step 4: Simplify right side
    2,522.61x = 5,133,418.86
  5. Step 5: Solve for x
    x = 5,133,418.86/2,522.61
  6. Step 6: Final answer
    x = 2,034.96

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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.