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Finding the Fourth Proportional to 3,100.09, 4,650.13 and 791.59

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Solution

The fourth proportional to 3,100.09, 4,650.13 and 791.59 is: 1,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.09 : 4,650.13 = 791.59 : x
  2. Step 2: Convert to fraction form
    3,100.09/4,650.13 = 791.59/x
  3. Step 3: Cross multiply
    3,100.09x = 4,650.13 × 791.59
  4. Step 4: Simplify right side
    3,100.09x = 3,680,973.16
  5. Step 5: Solve for x
    x = 3,680,973.16/3,100.09
  6. Step 6: Final answer
    x = 1,187.38

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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.