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Finding the Fourth Proportional to 3,020.41, 4,530.72 and 829.31

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Solution

The fourth proportional to 3,020.41, 4,530.72 and 829.31 is: 1,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.41 : 4,530.72 = 829.31 : x
  2. Step 2: Convert to fraction form
    3,020.41/4,530.72 = 829.31/x
  3. Step 3: Cross multiply
    3,020.41x = 4,530.72 × 829.31
  4. Step 4: Simplify right side
    3,020.41x = 3,757,348.75
  5. Step 5: Solve for x
    x = 3,757,348.75/3,020.41
  6. Step 6: Final answer
    x = 1,243.99

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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.