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Finding the Fourth Proportional to 2,162.59, 3,243.67 and 602.42

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Solution

The fourth proportional to 2,162.59, 3,243.67 and 602.42 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.59 : 3,243.67 = 602.42 : x
  2. Step 2: Convert to fraction form
    2,162.59/3,243.67 = 602.42/x
  3. Step 3: Cross multiply
    2,162.59x = 3,243.67 × 602.42
  4. Step 4: Simplify right side
    2,162.59x = 1,954,033.96
  5. Step 5: Solve for x
    x = 1,954,033.96/2,162.59
  6. Step 6: Final answer
    x = 903.56

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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.