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Finding the Fourth Proportional to 1,520.62, 2,097.38 and 1,469.82

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Solution

The fourth proportional to 1,520.62, 2,097.38 and 1,469.82 is: 2,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.62 : 2,097.38 = 1,469.82 : x
  2. Step 2: Convert to fraction form
    1,520.62/2,097.38 = 1,469.82/x
  3. Step 3: Cross multiply
    1,520.62x = 2,097.38 × 1,469.82
  4. Step 4: Simplify right side
    1,520.62x = 3,082,771.07
  5. Step 5: Solve for x
    x = 3,082,771.07/1,520.62
  6. Step 6: Final answer
    x = 2,027.31

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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.