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Finding the Fourth Proportional to 2,449.57, 3,674.64 and 805.69

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Solution

The fourth proportional to 2,449.57, 3,674.64 and 805.69 is: 1,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.57 : 3,674.64 = 805.69 : x
  2. Step 2: Convert to fraction form
    2,449.57/3,674.64 = 805.69/x
  3. Step 3: Cross multiply
    2,449.57x = 3,674.64 × 805.69
  4. Step 4: Simplify right side
    2,449.57x = 2,960,620.70
  5. Step 5: Solve for x
    x = 2,960,620.70/2,449.57
  6. Step 6: Final answer
    x = 1,208.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.