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Finding the Fourth Proportional to 2,757.40, 4,135.62 and 809.16

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Solution

The fourth proportional to 2,757.40, 4,135.62 and 809.16 is: 1,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.40 : 4,135.62 = 809.16 : x
  2. Step 2: Convert to fraction form
    2,757.40/4,135.62 = 809.16/x
  3. Step 3: Cross multiply
    2,757.40x = 4,135.62 × 809.16
  4. Step 4: Simplify right side
    2,757.40x = 3,346,378.28
  5. Step 5: Solve for x
    x = 3,346,378.28/2,757.40
  6. Step 6: Final answer
    x = 1,213.60

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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.