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Finding the Fourth Proportional to 2,993.63, 4,131.23 and 1,667.33

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Solution

The fourth proportional to 2,993.63, 4,131.23 and 1,667.33 is: 2,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.63 : 4,131.23 = 1,667.33 : x
  2. Step 2: Convert to fraction form
    2,993.63/4,131.23 = 1,667.33/x
  3. Step 3: Cross multiply
    2,993.63x = 4,131.23 × 1,667.33
  4. Step 4: Simplify right side
    2,993.63x = 6,888,115.38
  5. Step 5: Solve for x
    x = 6,888,115.38/2,993.63
  6. Step 6: Final answer
    x = 2,300.92

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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.