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Finding the Fourth Proportional to 2,033.30, 3,049.94 and 572.45

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Solution

The fourth proportional to 2,033.30, 3,049.94 and 572.45 is: 858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.30 : 3,049.94 = 572.45 : x
  2. Step 2: Convert to fraction form
    2,033.30/3,049.94 = 572.45/x
  3. Step 3: Cross multiply
    2,033.30x = 3,049.94 × 572.45
  4. Step 4: Simplify right side
    2,033.30x = 1,745,947.21
  5. Step 5: Solve for x
    x = 1,745,947.21/2,033.30
  6. Step 6: Final answer
    x = 858.68

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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.