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Finding the Fourth Proportional to 2,033.06, 3,047.76 and 936.86

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Solution

The fourth proportional to 2,033.06, 3,047.76 and 936.86 is: 1,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.06 : 3,047.76 = 936.86 : x
  2. Step 2: Convert to fraction form
    2,033.06/3,047.76 = 936.86/x
  3. Step 3: Cross multiply
    2,033.06x = 3,047.76 × 936.86
  4. Step 4: Simplify right side
    2,033.06x = 2,855,324.43
  5. Step 5: Solve for x
    x = 2,855,324.43/2,033.06
  6. Step 6: Final answer
    x = 1,404.45

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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.