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Finding the Fourth Proportional to 2,180.41, 3,268.17 and 862.94

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Solution

The fourth proportional to 2,180.41, 3,268.17 and 862.94 is: 1,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.41 : 3,268.17 = 862.94 : x
  2. Step 2: Convert to fraction form
    2,180.41/3,268.17 = 862.94/x
  3. Step 3: Cross multiply
    2,180.41x = 3,268.17 × 862.94
  4. Step 4: Simplify right side
    2,180.41x = 2,820,234.62
  5. Step 5: Solve for x
    x = 2,820,234.62/2,180.41
  6. Step 6: Final answer
    x = 1,293.45

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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.