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Finding the Fourth Proportional to 2,033.19, 3,049.33 and 572.31

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Solution

The fourth proportional to 2,033.19, 3,049.33 and 572.31 is: 858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.19 : 3,049.33 = 572.31 : x
  2. Step 2: Convert to fraction form
    2,033.19/3,049.33 = 572.31/x
  3. Step 3: Cross multiply
    2,033.19x = 3,049.33 × 572.31
  4. Step 4: Simplify right side
    2,033.19x = 1,745,162.05
  5. Step 5: Solve for x
    x = 1,745,162.05/2,033.19
  6. Step 6: Final answer
    x = 858.34

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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.