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Finding the Fourth Proportional to 1,966.72, 2,950.06 and 796.71

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Solution

The fourth proportional to 1,966.72, 2,950.06 and 796.71 is: 1,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.72 : 2,950.06 = 796.71 : x
  2. Step 2: Convert to fraction form
    1,966.72/2,950.06 = 796.71/x
  3. Step 3: Cross multiply
    1,966.72x = 2,950.06 × 796.71
  4. Step 4: Simplify right side
    1,966.72x = 2,350,349.51
  5. Step 5: Solve for x
    x = 2,350,349.51/1,966.72
  6. Step 6: Final answer
    x = 1,195.06

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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.