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Finding the Fourth Proportional to 3,162.17, 4,743.29 and 1,704.17

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Solution

The fourth proportional to 3,162.17, 4,743.29 and 1,704.17 is: 2,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.17 : 4,743.29 = 1,704.17 : x
  2. Step 2: Convert to fraction form
    3,162.17/4,743.29 = 1,704.17/x
  3. Step 3: Cross multiply
    3,162.17x = 4,743.29 × 1,704.17
  4. Step 4: Simplify right side
    3,162.17x = 8,083,388.64
  5. Step 5: Solve for x
    x = 8,083,388.64/3,162.17
  6. Step 6: Final answer
    x = 2,556.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.