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Finding the Fourth Proportional to 2,950.97, 4,426.45 and 759.68

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Solution

The fourth proportional to 2,950.97, 4,426.45 and 759.68 is: 1,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.97 : 4,426.45 = 759.68 : x
  2. Step 2: Convert to fraction form
    2,950.97/4,426.45 = 759.68/x
  3. Step 3: Cross multiply
    2,950.97x = 4,426.45 × 759.68
  4. Step 4: Simplify right side
    2,950.97x = 3,362,685.54
  5. Step 5: Solve for x
    x = 3,362,685.54/2,950.97
  6. Step 6: Final answer
    x = 1,139.52

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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.