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Finding the Fourth Proportional to 2,965.88, 4,448.82 and 774.80

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Solution

The fourth proportional to 2,965.88, 4,448.82 and 774.80 is: 1,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.88 : 4,448.82 = 774.80 : x
  2. Step 2: Convert to fraction form
    2,965.88/4,448.82 = 774.80/x
  3. Step 3: Cross multiply
    2,965.88x = 4,448.82 × 774.80
  4. Step 4: Simplify right side
    2,965.88x = 3,446,943.08
  5. Step 5: Solve for x
    x = 3,446,943.08/2,965.88
  6. Step 6: Final answer
    x = 1,162.20

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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.