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Finding the Fourth Proportional to 2,633.81, 3,950.32 and 784.85

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Solution

The fourth proportional to 2,633.81, 3,950.32 and 784.85 is: 1,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.81 : 3,950.32 = 784.85 : x
  2. Step 2: Convert to fraction form
    2,633.81/3,950.32 = 784.85/x
  3. Step 3: Cross multiply
    2,633.81x = 3,950.32 × 784.85
  4. Step 4: Simplify right side
    2,633.81x = 3,100,408.65
  5. Step 5: Solve for x
    x = 3,100,408.65/2,633.81
  6. Step 6: Final answer
    x = 1,177.16

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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.