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Finding the Fourth Proportional to 2,232.80, 3,348.78 and 771.96

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Solution

The fourth proportional to 2,232.80, 3,348.78 and 771.96 is: 1,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.80 : 3,348.78 = 771.96 : x
  2. Step 2: Convert to fraction form
    2,232.80/3,348.78 = 771.96/x
  3. Step 3: Cross multiply
    2,232.80x = 3,348.78 × 771.96
  4. Step 4: Simplify right side
    2,232.80x = 2,585,124.21
  5. Step 5: Solve for x
    x = 2,585,124.21/2,232.80
  6. Step 6: Final answer
    x = 1,157.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.