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Finding the Fourth Proportional to 1,704.29, 2,361.41 and 1,667.39

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Solution

The fourth proportional to 1,704.29, 2,361.41 and 1,667.39 is: 2,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.29 : 2,361.41 = 1,667.39 : x
  2. Step 2: Convert to fraction form
    1,704.29/2,361.41 = 1,667.39/x
  3. Step 3: Cross multiply
    1,704.29x = 2,361.41 × 1,667.39
  4. Step 4: Simplify right side
    1,704.29x = 3,937,387.88
  5. Step 5: Solve for x
    x = 3,937,387.88/1,704.29
  6. Step 6: Final answer
    x = 2,310.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.