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Finding the Fourth Proportional to 2,195.89, 3,290.11 and 1,328.38

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Solution

The fourth proportional to 2,195.89, 3,290.11 and 1,328.38 is: 1,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.89 : 3,290.11 = 1,328.38 : x
  2. Step 2: Convert to fraction form
    2,195.89/3,290.11 = 1,328.38/x
  3. Step 3: Cross multiply
    2,195.89x = 3,290.11 × 1,328.38
  4. Step 4: Simplify right side
    2,195.89x = 4,370,516.32
  5. Step 5: Solve for x
    x = 4,370,516.32/2,195.89
  6. Step 6: Final answer
    x = 1,990.32

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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.