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Finding the Fourth Proportional to 2,175.93, 3,000.38 and 1,617.44

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Solution

The fourth proportional to 2,175.93, 3,000.38 and 1,617.44 is: 2,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.93 : 3,000.38 = 1,617.44 : x
  2. Step 2: Convert to fraction form
    2,175.93/3,000.38 = 1,617.44/x
  3. Step 3: Cross multiply
    2,175.93x = 3,000.38 × 1,617.44
  4. Step 4: Simplify right side
    2,175.93x = 4,852,911.54
  5. Step 5: Solve for x
    x = 4,852,911.54/2,175.93
  6. Step 6: Final answer
    x = 2,230.27

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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.