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Finding the Fourth Proportional to 2,208.26, 3,313.10 and 892.62

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Solution

The fourth proportional to 2,208.26, 3,313.10 and 892.62 is: 1,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.26 : 3,313.10 = 892.62 : x
  2. Step 2: Convert to fraction form
    2,208.26/3,313.10 = 892.62/x
  3. Step 3: Cross multiply
    2,208.26x = 3,313.10 × 892.62
  4. Step 4: Simplify right side
    2,208.26x = 2,957,341.55
  5. Step 5: Solve for x
    x = 2,957,341.55/2,208.26
  6. Step 6: Final answer
    x = 1,339.22

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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.