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Finding the Fourth Proportional to 3,021.54, 4,169.50 and 1,695

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Solution

The fourth proportional to 3,021.54, 4,169.50 and 1,695 is: 2,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.54 : 4,169.50 = 1,695 : x
  2. Step 2: Convert to fraction form
    3,021.54/4,169.50 = 1,695/x
  3. Step 3: Cross multiply
    3,021.54x = 4,169.50 × 1,695
  4. Step 4: Simplify right side
    3,021.54x = 7,067,302.50
  5. Step 5: Solve for x
    x = 7,067,302.50/3,021.54
  6. Step 6: Final answer
    x = 2,338.97

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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.