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Finding the Fourth Proportional to 2,529.41, 3,793.16 and 773.88

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Solution

The fourth proportional to 2,529.41, 3,793.16 and 773.88 is: 1,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.41 : 3,793.16 = 773.88 : x
  2. Step 2: Convert to fraction form
    2,529.41/3,793.16 = 773.88/x
  3. Step 3: Cross multiply
    2,529.41x = 3,793.16 × 773.88
  4. Step 4: Simplify right side
    2,529.41x = 2,935,446.79
  5. Step 5: Solve for x
    x = 2,935,446.79/2,529.41
  6. Step 6: Final answer
    x = 1,160.53

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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.