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Finding the Fourth Proportional to 1,793.15, 2,472.20 and 1,295.91

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Solution

The fourth proportional to 1,793.15, 2,472.20 and 1,295.91 is: 1,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.15 : 2,472.20 = 1,295.91 : x
  2. Step 2: Convert to fraction form
    1,793.15/2,472.20 = 1,295.91/x
  3. Step 3: Cross multiply
    1,793.15x = 2,472.20 × 1,295.91
  4. Step 4: Simplify right side
    1,793.15x = 3,203,748.70
  5. Step 5: Solve for x
    x = 3,203,748.70/1,793.15
  6. Step 6: Final answer
    x = 1,786.66

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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.