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Finding the Fourth Proportional to 2,609.82, 3,598.22 and 1,902.69

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Solution

The fourth proportional to 2,609.82, 3,598.22 and 1,902.69 is: 2,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.82 : 3,598.22 = 1,902.69 : x
  2. Step 2: Convert to fraction form
    2,609.82/3,598.22 = 1,902.69/x
  3. Step 3: Cross multiply
    2,609.82x = 3,598.22 × 1,902.69
  4. Step 4: Simplify right side
    2,609.82x = 6,846,301.97
  5. Step 5: Solve for x
    x = 6,846,301.97/2,609.82
  6. Step 6: Final answer
    x = 2,623.29

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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.