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Finding the Fourth Proportional to 3,021.82, 4,171.14 and 1,904.63

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Solution

The fourth proportional to 3,021.82, 4,171.14 and 1,904.63 is: 2,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.82 : 4,171.14 = 1,904.63 : x
  2. Step 2: Convert to fraction form
    3,021.82/4,171.14 = 1,904.63/x
  3. Step 3: Cross multiply
    3,021.82x = 4,171.14 × 1,904.63
  4. Step 4: Simplify right side
    3,021.82x = 7,944,478.38
  5. Step 5: Solve for x
    x = 7,944,478.38/3,021.82
  6. Step 6: Final answer
    x = 2,629.04

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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.