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Finding the Fourth Proportional to 2,847.50, 3,926.09 and 2,209.62

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Solution

The fourth proportional to 2,847.50, 3,926.09 and 2,209.62 is: 3,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.50 : 3,926.09 = 2,209.62 : x
  2. Step 2: Convert to fraction form
    2,847.50/3,926.09 = 2,209.62/x
  3. Step 3: Cross multiply
    2,847.50x = 3,926.09 × 2,209.62
  4. Step 4: Simplify right side
    2,847.50x = 8,675,172.51
  5. Step 5: Solve for x
    x = 8,675,172.51/2,847.50
  6. Step 6: Final answer
    x = 3,046.60

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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.