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Finding the Fourth Proportional to 1,965.93, 2,950.05 and 796.17

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Solution

The fourth proportional to 1,965.93, 2,950.05 and 796.17 is: 1,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.93 : 2,950.05 = 796.17 : x
  2. Step 2: Convert to fraction form
    1,965.93/2,950.05 = 796.17/x
  3. Step 3: Cross multiply
    1,965.93x = 2,950.05 × 796.17
  4. Step 4: Simplify right side
    1,965.93x = 2,348,741.31
  5. Step 5: Solve for x
    x = 2,348,741.31/1,965.93
  6. Step 6: Final answer
    x = 1,194.72

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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.