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Finding the Fourth Proportional to 2,033.73, 3,050.63 and 572.92

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Solution

The fourth proportional to 2,033.73, 3,050.63 and 572.92 is: 859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.73 : 3,050.63 = 572.92 : x
  2. Step 2: Convert to fraction form
    2,033.73/3,050.63 = 572.92/x
  3. Step 3: Cross multiply
    2,033.73x = 3,050.63 × 572.92
  4. Step 4: Simplify right side
    2,033.73x = 1,747,751.69
  5. Step 5: Solve for x
    x = 1,747,751.69/2,033.73
  6. Step 6: Final answer
    x = 859.38

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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.