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Finding the Fourth Proportional to 2,684.12, 3,684.32 and 2,382.80

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Solution

The fourth proportional to 2,684.12, 3,684.32 and 2,382.80 is: 3,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.12 : 3,684.32 = 2,382.80 : x
  2. Step 2: Convert to fraction form
    2,684.12/3,684.32 = 2,382.80/x
  3. Step 3: Cross multiply
    2,684.12x = 3,684.32 × 2,382.80
  4. Step 4: Simplify right side
    2,684.12x = 8,778,976.30
  5. Step 5: Solve for x
    x = 8,778,976.30/2,684.12
  6. Step 6: Final answer
    x = 3,270.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.