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Finding the Fourth Proportional to 2,234.66, 3,352.19 and 773.96

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Solution

The fourth proportional to 2,234.66, 3,352.19 and 773.96 is: 1,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.66 : 3,352.19 = 773.96 : x
  2. Step 2: Convert to fraction form
    2,234.66/3,352.19 = 773.96/x
  3. Step 3: Cross multiply
    2,234.66x = 3,352.19 × 773.96
  4. Step 4: Simplify right side
    2,234.66x = 2,594,440.34
  5. Step 5: Solve for x
    x = 2,594,440.34/2,234.66
  6. Step 6: Final answer
    x = 1,161.00

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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.