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Finding the Fourth Proportional to 2,032.67, 3,047.92 and 936.09

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Solution

The fourth proportional to 2,032.67, 3,047.92 and 936.09 is: 1,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.67 : 3,047.92 = 936.09 : x
  2. Step 2: Convert to fraction form
    2,032.67/3,047.92 = 936.09/x
  3. Step 3: Cross multiply
    2,032.67x = 3,047.92 × 936.09
  4. Step 4: Simplify right side
    2,032.67x = 2,853,136.52
  5. Step 5: Solve for x
    x = 2,853,136.52/2,032.67
  6. Step 6: Final answer
    x = 1,403.64

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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.