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Finding the Fourth Proportional to 2,965.98, 4,448.97 and 1,234.78

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Solution

The fourth proportional to 2,965.98, 4,448.97 and 1,234.78 is: 1,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.98 : 4,448.97 = 1,234.78 : x
  2. Step 2: Convert to fraction form
    2,965.98/4,448.97 = 1,234.78/x
  3. Step 3: Cross multiply
    2,965.98x = 4,448.97 × 1,234.78
  4. Step 4: Simplify right side
    2,965.98x = 5,493,499.18
  5. Step 5: Solve for x
    x = 5,493,499.18/2,965.98
  6. Step 6: Final answer
    x = 1,852.17

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1.5x scale

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.