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Finding the Fourth Proportional to 2,022.63, 3,033.80 and 561.79

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Solution

The fourth proportional to 2,022.63, 3,033.80 and 561.79 is: 842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.63 : 3,033.80 = 561.79 : x
  2. Step 2: Convert to fraction form
    2,022.63/3,033.80 = 561.79/x
  3. Step 3: Cross multiply
    2,022.63x = 3,033.80 × 561.79
  4. Step 4: Simplify right side
    2,022.63x = 1,704,358.50
  5. Step 5: Solve for x
    x = 1,704,358.50/2,022.63
  6. Step 6: Final answer
    x = 842.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.