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Finding the Fourth Proportional to 2,192.51, 3,286.03 and 1,097.19

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Solution

The fourth proportional to 2,192.51, 3,286.03 and 1,097.19 is: 1,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.51 : 3,286.03 = 1,097.19 : x
  2. Step 2: Convert to fraction form
    2,192.51/3,286.03 = 1,097.19/x
  3. Step 3: Cross multiply
    2,192.51x = 3,286.03 × 1,097.19
  4. Step 4: Simplify right side
    2,192.51x = 3,605,377.34
  5. Step 5: Solve for x
    x = 3,605,377.34/2,192.51
  6. Step 6: Final answer
    x = 1,644.41

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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.