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Finding the Fourth Proportional to 3,182.80, 4,766 and 2,723.52

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Solution

The fourth proportional to 3,182.80, 4,766 and 2,723.52 is: 4,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.80 : 4,766 = 2,723.52 : x
  2. Step 2: Convert to fraction form
    3,182.80/4,766 = 2,723.52/x
  3. Step 3: Cross multiply
    3,182.80x = 4,766 × 2,723.52
  4. Step 4: Simplify right side
    3,182.80x = 12,980,296.32
  5. Step 5: Solve for x
    x = 12,980,296.32/3,182.80
  6. Step 6: Final answer
    x = 4,078.26

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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.