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Finding the Fourth Proportional to 2,865.88, 3,958.67 and 2,308.40

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Solution

The fourth proportional to 2,865.88, 3,958.67 and 2,308.40 is: 3,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.88 : 3,958.67 = 2,308.40 : x
  2. Step 2: Convert to fraction form
    2,865.88/3,958.67 = 2,308.40/x
  3. Step 3: Cross multiply
    2,865.88x = 3,958.67 × 2,308.40
  4. Step 4: Simplify right side
    2,865.88x = 9,138,194.65
  5. Step 5: Solve for x
    x = 9,138,194.65/2,865.88
  6. Step 6: Final answer
    x = 3,188.62

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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.