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Finding the Fourth Proportional to 3,024.75, 4,174.22 and 1,698.55

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Solution

The fourth proportional to 3,024.75, 4,174.22 and 1,698.55 is: 2,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.75 : 4,174.22 = 1,698.55 : x
  2. Step 2: Convert to fraction form
    3,024.75/4,174.22 = 1,698.55/x
  3. Step 3: Cross multiply
    3,024.75x = 4,174.22 × 1,698.55
  4. Step 4: Simplify right side
    3,024.75x = 7,090,121.38
  5. Step 5: Solve for x
    x = 7,090,121.38/3,024.75
  6. Step 6: Final answer
    x = 2,344.04

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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.