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Finding the Fourth Proportional to 2,021.96, 3,033.39 and 561.23

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Solution

The fourth proportional to 2,021.96, 3,033.39 and 561.23 is: 841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.96 : 3,033.39 = 561.23 : x
  2. Step 2: Convert to fraction form
    2,021.96/3,033.39 = 561.23/x
  3. Step 3: Cross multiply
    2,021.96x = 3,033.39 × 561.23
  4. Step 4: Simplify right side
    2,021.96x = 1,702,414.30
  5. Step 5: Solve for x
    x = 1,702,414.30/2,021.96
  6. Step 6: Final answer
    x = 841.96

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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.