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Finding the Fourth Proportional to 2,460.03, 3,687.67 and 815.73

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Solution

The fourth proportional to 2,460.03, 3,687.67 and 815.73 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.03 : 3,687.67 = 815.73 : x
  2. Step 2: Convert to fraction form
    2,460.03/3,687.67 = 815.73/x
  3. Step 3: Cross multiply
    2,460.03x = 3,687.67 × 815.73
  4. Step 4: Simplify right side
    2,460.03x = 3,008,143.05
  5. Step 5: Solve for x
    x = 3,008,143.05/2,460.03
  6. Step 6: Final answer
    x = 1,222.81

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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.