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Finding the Fourth Proportional to 3,046.20, 4,559.70 and 2,182.20

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Solution

The fourth proportional to 3,046.20, 4,559.70 and 2,182.20 is: 3,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.20 : 4,559.70 = 2,182.20 : x
  2. Step 2: Convert to fraction form
    3,046.20/4,559.70 = 2,182.20/x
  3. Step 3: Cross multiply
    3,046.20x = 4,559.70 × 2,182.20
  4. Step 4: Simplify right side
    3,046.20x = 9,950,177.34
  5. Step 5: Solve for x
    x = 9,950,177.34/3,046.20
  6. Step 6: Final answer
    x = 3,266.42

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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.