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Finding the Fourth Proportional to 2,609.12, 3,908.28 and 1,958.96

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Solution

The fourth proportional to 2,609.12, 3,908.28 and 1,958.96 is: 2,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.12 : 3,908.28 = 1,958.96 : x
  2. Step 2: Convert to fraction form
    2,609.12/3,908.28 = 1,958.96/x
  3. Step 3: Cross multiply
    2,609.12x = 3,908.28 × 1,958.96
  4. Step 4: Simplify right side
    2,609.12x = 7,656,164.19
  5. Step 5: Solve for x
    x = 7,656,164.19/2,609.12
  6. Step 6: Final answer
    x = 2,934.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.