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Finding the Fourth Proportional to 2,809.37, 4,213.14 and 1,166.39

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Solution

The fourth proportional to 2,809.37, 4,213.14 and 1,166.39 is: 1,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.37 : 4,213.14 = 1,166.39 : x
  2. Step 2: Convert to fraction form
    2,809.37/4,213.14 = 1,166.39/x
  3. Step 3: Cross multiply
    2,809.37x = 4,213.14 × 1,166.39
  4. Step 4: Simplify right side
    2,809.37x = 4,914,143.30
  5. Step 5: Solve for x
    x = 4,914,143.30/2,809.37
  6. Step 6: Final answer
    x = 1,749.20

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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.