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Finding the Fourth Proportional to 2,739.77, 4,109.06 and 791.55

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Solution

The fourth proportional to 2,739.77, 4,109.06 and 791.55 is: 1,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.77 : 4,109.06 = 791.55 : x
  2. Step 2: Convert to fraction form
    2,739.77/4,109.06 = 791.55/x
  3. Step 3: Cross multiply
    2,739.77x = 4,109.06 × 791.55
  4. Step 4: Simplify right side
    2,739.77x = 3,252,522.49
  5. Step 5: Solve for x
    x = 3,252,522.49/2,739.77
  6. Step 6: Final answer
    x = 1,187.15

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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.