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Finding the Fourth Proportional to 2,993.50, 4,131 and 1,667.32

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Solution

The fourth proportional to 2,993.50, 4,131 and 1,667.32 is: 2,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.50 : 4,131 = 1,667.32 : x
  2. Step 2: Convert to fraction form
    2,993.50/4,131 = 1,667.32/x
  3. Step 3: Cross multiply
    2,993.50x = 4,131 × 1,667.32
  4. Step 4: Simplify right side
    2,993.50x = 6,887,698.92
  5. Step 5: Solve for x
    x = 6,887,698.92/2,993.50
  6. Step 6: Final answer
    x = 2,300.88

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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.