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Finding the Fourth Proportional to 2,993.86, 4,131.48 and 1,667.68

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Solution

The fourth proportional to 2,993.86, 4,131.48 and 1,667.68 is: 2,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.86 : 4,131.48 = 1,667.68 : x
  2. Step 2: Convert to fraction form
    2,993.86/4,131.48 = 1,667.68/x
  3. Step 3: Cross multiply
    2,993.86x = 4,131.48 × 1,667.68
  4. Step 4: Simplify right side
    2,993.86x = 6,889,986.57
  5. Step 5: Solve for x
    x = 6,889,986.57/2,993.86
  6. Step 6: Final answer
    x = 2,301.37

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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.