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Finding the Fourth Proportional to 3,114.25, 4,297.71 and 1,717

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Solution

The fourth proportional to 3,114.25, 4,297.71 and 1,717 is: 2,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.25 : 4,297.71 = 1,717 : x
  2. Step 2: Convert to fraction form
    3,114.25/4,297.71 = 1,717/x
  3. Step 3: Cross multiply
    3,114.25x = 4,297.71 × 1,717
  4. Step 4: Simplify right side
    3,114.25x = 7,379,168.07
  5. Step 5: Solve for x
    x = 7,379,168.07/3,114.25
  6. Step 6: Final answer
    x = 2,369.48

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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.