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Finding the Fourth Proportional to 2,022.75, 3,033.99 and 561.93

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Solution

The fourth proportional to 2,022.75, 3,033.99 and 561.93 is: 842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.75 : 3,033.99 = 561.93 : x
  2. Step 2: Convert to fraction form
    2,022.75/3,033.99 = 561.93/x
  3. Step 3: Cross multiply
    2,022.75x = 3,033.99 × 561.93
  4. Step 4: Simplify right side
    2,022.75x = 1,704,890.00
  5. Step 5: Solve for x
    x = 1,704,890.00/2,022.75
  6. Step 6: Final answer
    x = 842.86

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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.