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Finding the Fourth Proportional to 2,715.22, 4,073.49 and 866.34

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Solution

The fourth proportional to 2,715.22, 4,073.49 and 866.34 is: 1,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.22 : 4,073.49 = 866.34 : x
  2. Step 2: Convert to fraction form
    2,715.22/4,073.49 = 866.34/x
  3. Step 3: Cross multiply
    2,715.22x = 4,073.49 × 866.34
  4. Step 4: Simplify right side
    2,715.22x = 3,529,009.12
  5. Step 5: Solve for x
    x = 3,529,009.12/2,715.22
  6. Step 6: Final answer
    x = 1,299.71

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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.