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Finding the Fourth Proportional to 2,449.76, 3,673.85 and 805.93

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Solution

The fourth proportional to 2,449.76, 3,673.85 and 805.93 is: 1,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.76 : 3,673.85 = 805.93 : x
  2. Step 2: Convert to fraction form
    2,449.76/3,673.85 = 805.93/x
  3. Step 3: Cross multiply
    2,449.76x = 3,673.85 × 805.93
  4. Step 4: Simplify right side
    2,449.76x = 2,960,847.56
  5. Step 5: Solve for x
    x = 2,960,847.56/2,449.76
  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.