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Finding the Fourth Proportional to 3,256.80, 4,888.46 and 1,796.64

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Solution

The fourth proportional to 3,256.80, 4,888.46 and 1,796.64 is: 2,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.80 : 4,888.46 = 1,796.64 : x
  2. Step 2: Convert to fraction form
    3,256.80/4,888.46 = 1,796.64/x
  3. Step 3: Cross multiply
    3,256.80x = 4,888.46 × 1,796.64
  4. Step 4: Simplify right side
    3,256.80x = 8,782,793.79
  5. Step 5: Solve for x
    x = 8,782,793.79/3,256.80
  6. Step 6: Final answer
    x = 2,696.76

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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.