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Finding the Fourth Proportional to 2,457.73, 3,678.09 and 2,013.85

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Solution

The fourth proportional to 2,457.73, 3,678.09 and 2,013.85 is: 3,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.73 : 3,678.09 = 2,013.85 : x
  2. Step 2: Convert to fraction form
    2,457.73/3,678.09 = 2,013.85/x
  3. Step 3: Cross multiply
    2,457.73x = 3,678.09 × 2,013.85
  4. Step 4: Simplify right side
    2,457.73x = 7,407,121.55
  5. Step 5: Solve for x
    x = 7,407,121.55/2,457.73
  6. Step 6: Final answer
    x = 3,013.81

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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.