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Finding the Fourth Proportional to 2,764.92, 4,147.63 and 790.57

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Solution

The fourth proportional to 2,764.92, 4,147.63 and 790.57 is: 1,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.92 : 4,147.63 = 790.57 : x
  2. Step 2: Convert to fraction form
    2,764.92/4,147.63 = 790.57/x
  3. Step 3: Cross multiply
    2,764.92x = 4,147.63 × 790.57
  4. Step 4: Simplify right side
    2,764.92x = 3,278,991.85
  5. Step 5: Solve for x
    x = 3,278,991.85/2,764.92
  6. Step 6: Final answer
    x = 1,185.93

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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.