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Finding the Fourth Proportional to 2,453.12, 3,680.20 and 809.80

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Solution

The fourth proportional to 2,453.12, 3,680.20 and 809.80 is: 1,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.12 : 3,680.20 = 809.80 : x
  2. Step 2: Convert to fraction form
    2,453.12/3,680.20 = 809.80/x
  3. Step 3: Cross multiply
    2,453.12x = 3,680.20 × 809.80
  4. Step 4: Simplify right side
    2,453.12x = 2,980,225.96
  5. Step 5: Solve for x
    x = 2,980,225.96/2,453.12
  6. Step 6: Final answer
    x = 1,214.87

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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.