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Finding the Fourth Proportional to 3,273.30, 4,517 and 1,856.90

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Solution

The fourth proportional to 3,273.30, 4,517 and 1,856.90 is: 2,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.30 : 4,517 = 1,856.90 : x
  2. Step 2: Convert to fraction form
    3,273.30/4,517 = 1,856.90/x
  3. Step 3: Cross multiply
    3,273.30x = 4,517 × 1,856.90
  4. Step 4: Simplify right side
    3,273.30x = 8,387,617.30
  5. Step 5: Solve for x
    x = 8,387,617.30/3,273.30
  6. Step 6: Final answer
    x = 2,562.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.