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Finding the Fourth Proportional to 2,275.29, 3,412.94 and 2,109.21

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Solution

The fourth proportional to 2,275.29, 3,412.94 and 2,109.21 is: 3,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.29 : 3,412.94 = 2,109.21 : x
  2. Step 2: Convert to fraction form
    2,275.29/3,412.94 = 2,109.21/x
  3. Step 3: Cross multiply
    2,275.29x = 3,412.94 × 2,109.21
  4. Step 4: Simplify right side
    2,275.29x = 7,198,583.83
  5. Step 5: Solve for x
    x = 7,198,583.83/2,275.29
  6. Step 6: Final answer
    x = 3,163.81

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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.