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Finding the Fourth Proportional to 2,032.79, 3,048.11 and 936.22

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Solution

The fourth proportional to 2,032.79, 3,048.11 and 936.22 is: 1,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.79 : 3,048.11 = 936.22 : x
  2. Step 2: Convert to fraction form
    2,032.79/3,048.11 = 936.22/x
  3. Step 3: Cross multiply
    2,032.79x = 3,048.11 × 936.22
  4. Step 4: Simplify right side
    2,032.79x = 2,853,696.86
  5. Step 5: Solve for x
    x = 2,853,696.86/2,032.79
  6. Step 6: Final answer
    x = 1,403.83

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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.