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Finding the Fourth Proportional to 2,467.14, 3,404.68 and 1,348.09

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Solution

The fourth proportional to 2,467.14, 3,404.68 and 1,348.09 is: 1,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.14 : 3,404.68 = 1,348.09 : x
  2. Step 2: Convert to fraction form
    2,467.14/3,404.68 = 1,348.09/x
  3. Step 3: Cross multiply
    2,467.14x = 3,404.68 × 1,348.09
  4. Step 4: Simplify right side
    2,467.14x = 4,589,815.06
  5. Step 5: Solve for x
    x = 4,589,815.06/2,467.14
  6. Step 6: Final answer
    x = 1,860.38

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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.