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Finding the Fourth Proportional to 2,022.63, 3,033.93 and 561.77

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Solution

The fourth proportional to 2,022.63, 3,033.93 and 561.77 is: 842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.63 : 3,033.93 = 561.77 : x
  2. Step 2: Convert to fraction form
    2,022.63/3,033.93 = 561.77/x
  3. Step 3: Cross multiply
    2,022.63x = 3,033.93 × 561.77
  4. Step 4: Simplify right side
    2,022.63x = 1,704,370.86
  5. Step 5: Solve for x
    x = 1,704,370.86/2,022.63
  6. Step 6: Final answer
    x = 842.65

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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.