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Finding the Fourth Proportional to 2,739.09, 4,108.18 and 764.85

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Solution

The fourth proportional to 2,739.09, 4,108.18 and 764.85 is: 1,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.09 : 4,108.18 = 764.85 : x
  2. Step 2: Convert to fraction form
    2,739.09/4,108.18 = 764.85/x
  3. Step 3: Cross multiply
    2,739.09x = 4,108.18 × 764.85
  4. Step 4: Simplify right side
    2,739.09x = 3,142,141.47
  5. Step 5: Solve for x
    x = 3,142,141.47/2,739.09
  6. Step 6: Final answer
    x = 1,147.15

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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.