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Finding the Fourth Proportional to 2,449.47, 3,674.76 and 806.03

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Solution

The fourth proportional to 2,449.47, 3,674.76 and 806.03 is: 1,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.47 : 3,674.76 = 806.03 : x
  2. Step 2: Convert to fraction form
    2,449.47/3,674.76 = 806.03/x
  3. Step 3: Cross multiply
    2,449.47x = 3,674.76 × 806.03
  4. Step 4: Simplify right side
    2,449.47x = 2,961,979.01
  5. Step 5: Solve for x
    x = 2,961,979.01/2,449.47
  6. Step 6: Final answer
    x = 1,209.23

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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.