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Finding the Fourth Proportional to 2,518, 3,474.84 and 1,469.88

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Solution

The fourth proportional to 2,518, 3,474.84 and 1,469.88 is: 2,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518 : 3,474.84 = 1,469.88 : x
  2. Step 2: Convert to fraction form
    2,518/3,474.84 = 1,469.88/x
  3. Step 3: Cross multiply
    2,518x = 3,474.84 × 1,469.88
  4. Step 4: Simplify right side
    2,518x = 5,107,597.82
  5. Step 5: Solve for x
    x = 5,107,597.82/2,518
  6. Step 6: Final answer
    x = 2,028.43

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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.