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Finding the Fourth Proportional to 2,757.04, 4,135.60 and 809.28

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Solution

The fourth proportional to 2,757.04, 4,135.60 and 809.28 is: 1,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.04 : 4,135.60 = 809.28 : x
  2. Step 2: Convert to fraction form
    2,757.04/4,135.60 = 809.28/x
  3. Step 3: Cross multiply
    2,757.04x = 4,135.60 × 809.28
  4. Step 4: Simplify right side
    2,757.04x = 3,346,858.37
  5. Step 5: Solve for x
    x = 3,346,858.37/2,757.04
  6. Step 6: Final answer
    x = 1,213.93

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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.