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Finding the Fourth Proportional to 2,453.36, 3,680.19 and 809.92

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Solution

The fourth proportional to 2,453.36, 3,680.19 and 809.92 is: 1,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.36 : 3,680.19 = 809.92 : x
  2. Step 2: Convert to fraction form
    2,453.36/3,680.19 = 809.92/x
  3. Step 3: Cross multiply
    2,453.36x = 3,680.19 × 809.92
  4. Step 4: Simplify right side
    2,453.36x = 2,980,659.48
  5. Step 5: Solve for x
    x = 2,980,659.48/2,453.36
  6. Step 6: Final answer
    x = 1,214.93

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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.