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Finding the Fourth Proportional to 2,715.09, 4,072.23 and 865.97

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Solution

The fourth proportional to 2,715.09, 4,072.23 and 865.97 is: 1,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.09 : 4,072.23 = 865.97 : x
  2. Step 2: Convert to fraction form
    2,715.09/4,072.23 = 865.97/x
  3. Step 3: Cross multiply
    2,715.09x = 4,072.23 × 865.97
  4. Step 4: Simplify right side
    2,715.09x = 3,526,429.01
  5. Step 5: Solve for x
    x = 3,526,429.01/2,715.09
  6. Step 6: Final answer
    x = 1,298.83

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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.