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Finding the Fourth Proportional to 2,234.72, 3,352.02 and 773.84

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Solution

The fourth proportional to 2,234.72, 3,352.02 and 773.84 is: 1,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.72 : 3,352.02 = 773.84 : x
  2. Step 2: Convert to fraction form
    2,234.72/3,352.02 = 773.84/x
  3. Step 3: Cross multiply
    2,234.72x = 3,352.02 × 773.84
  4. Step 4: Simplify right side
    2,234.72x = 2,593,927.16
  5. Step 5: Solve for x
    x = 2,593,927.16/2,234.72
  6. Step 6: Final answer
    x = 1,160.74

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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.