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Finding the Fourth Proportional to 2,021.94, 3,033.72 and 926.55

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Solution

The fourth proportional to 2,021.94, 3,033.72 and 926.55 is: 1,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.94 : 3,033.72 = 926.55 : x
  2. Step 2: Convert to fraction form
    2,021.94/3,033.72 = 926.55/x
  3. Step 3: Cross multiply
    2,021.94x = 3,033.72 × 926.55
  4. Step 4: Simplify right side
    2,021.94x = 2,810,893.27
  5. Step 5: Solve for x
    x = 2,810,893.27/2,021.94
  6. Step 6: Final answer
    x = 1,390.20

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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.