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Finding the Fourth Proportional to 2,308.94, 3,185.43 and 1,469.42

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Solution

The fourth proportional to 2,308.94, 3,185.43 and 1,469.42 is: 2,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.94 : 3,185.43 = 1,469.42 : x
  2. Step 2: Convert to fraction form
    2,308.94/3,185.43 = 1,469.42/x
  3. Step 3: Cross multiply
    2,308.94x = 3,185.43 × 1,469.42
  4. Step 4: Simplify right side
    2,308.94x = 4,680,734.55
  5. Step 5: Solve for x
    x = 4,680,734.55/2,308.94
  6. Step 6: Final answer
    x = 2,027.22

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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.