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Finding the Fourth Proportional to 2,667.75, 3,672.78 and 2,318.31

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Solution

The fourth proportional to 2,667.75, 3,672.78 and 2,318.31 is: 3,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.75 : 3,672.78 = 2,318.31 : x
  2. Step 2: Convert to fraction form
    2,667.75/3,672.78 = 2,318.31/x
  3. Step 3: Cross multiply
    2,667.75x = 3,672.78 × 2,318.31
  4. Step 4: Simplify right side
    2,667.75x = 8,514,642.60
  5. Step 5: Solve for x
    x = 8,514,642.60/2,667.75
  6. Step 6: Final answer
    x = 3,191.69

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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.