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Finding the Fourth Proportional to 2,453.30, 3,680.00 and 721.92

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Solution

The fourth proportional to 2,453.30, 3,680.00 and 721.92 is: 1,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.30 : 3,680.00 = 721.92 : x
  2. Step 2: Convert to fraction form
    2,453.30/3,680.00 = 721.92/x
  3. Step 3: Cross multiply
    2,453.30x = 3,680.00 × 721.92
  4. Step 4: Simplify right side
    2,453.30x = 2,656,661.99
  5. Step 5: Solve for x
    x = 2,656,661.99/2,453.30
  6. Step 6: Final answer
    x = 1,082.90

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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.