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Finding the Fourth Proportional to 2,993.94, 4,131.43 and 1,667.71

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Solution

The fourth proportional to 2,993.94, 4,131.43 and 1,667.71 is: 2,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.94 : 4,131.43 = 1,667.71 : x
  2. Step 2: Convert to fraction form
    2,993.94/4,131.43 = 1,667.71/x
  3. Step 3: Cross multiply
    2,993.94x = 4,131.43 × 1,667.71
  4. Step 4: Simplify right side
    2,993.94x = 6,890,027.13
  5. Step 5: Solve for x
    x = 6,890,027.13/2,993.94
  6. Step 6: Final answer
    x = 2,301.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.