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Finding the Fourth Proportional to 3,308.25, 4,567.41 and 2,131.41

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Solution

The fourth proportional to 3,308.25, 4,567.41 and 2,131.41 is: 2,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.25 : 4,567.41 = 2,131.41 : x
  2. Step 2: Convert to fraction form
    3,308.25/4,567.41 = 2,131.41/x
  3. Step 3: Cross multiply
    3,308.25x = 4,567.41 × 2,131.41
  4. Step 4: Simplify right side
    3,308.25x = 9,735,023.35
  5. Step 5: Solve for x
    x = 9,735,023.35/3,308.25
  6. Step 6: Final answer
    x = 2,942.65

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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.