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Finding the Fourth Proportional to 2,449.66, 3,674.52 and 1,961.50

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Solution

The fourth proportional to 2,449.66, 3,674.52 and 1,961.50 is: 2,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.66 : 3,674.52 = 1,961.50 : x
  2. Step 2: Convert to fraction form
    2,449.66/3,674.52 = 1,961.50/x
  3. Step 3: Cross multiply
    2,449.66x = 3,674.52 × 1,961.50
  4. Step 4: Simplify right side
    2,449.66x = 7,207,570.98
  5. Step 5: Solve for x
    x = 7,207,570.98/2,449.66
  6. Step 6: Final answer
    x = 2,942.27

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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.