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Finding the Fourth Proportional to 2,182.55, 3,273.98 and 721.72

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Solution

The fourth proportional to 2,182.55, 3,273.98 and 721.72 is: 1,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.55 : 3,273.98 = 721.72 : x
  2. Step 2: Convert to fraction form
    2,182.55/3,273.98 = 721.72/x
  3. Step 3: Cross multiply
    2,182.55x = 3,273.98 × 721.72
  4. Step 4: Simplify right side
    2,182.55x = 2,362,885.05
  5. Step 5: Solve for x
    x = 2,362,885.05/2,182.55
  6. Step 6: Final answer
    x = 1,082.62

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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.