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Finding the Fourth Proportional to 2,743.86, 3,786.53 and 1,484.92

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Solution

The fourth proportional to 2,743.86, 3,786.53 and 1,484.92 is: 2,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.86 : 3,786.53 = 1,484.92 : x
  2. Step 2: Convert to fraction form
    2,743.86/3,786.53 = 1,484.92/x
  3. Step 3: Cross multiply
    2,743.86x = 3,786.53 × 1,484.92
  4. Step 4: Simplify right side
    2,743.86x = 5,622,691.44
  5. Step 5: Solve for x
    x = 5,622,691.44/2,743.86
  6. Step 6: Final answer
    x = 2,049.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.