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Finding the Fourth Proportional to 2,449.27, 3,674.81 and 1,133.66

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Solution

The fourth proportional to 2,449.27, 3,674.81 and 1,133.66 is: 1,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.27 : 3,674.81 = 1,133.66 : x
  2. Step 2: Convert to fraction form
    2,449.27/3,674.81 = 1,133.66/x
  3. Step 3: Cross multiply
    2,449.27x = 3,674.81 × 1,133.66
  4. Step 4: Simplify right side
    2,449.27x = 4,165,988.62
  5. Step 5: Solve for x
    x = 4,165,988.62/2,449.27
  6. Step 6: Final answer
    x = 1,700.91

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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.