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Finding the Fourth Proportional to 3,256.80, 4,880.40 and 2,767.20

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Solution

The fourth proportional to 3,256.80, 4,880.40 and 2,767.20 is: 4,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.80 : 4,880.40 = 2,767.20 : x
  2. Step 2: Convert to fraction form
    3,256.80/4,880.40 = 2,767.20/x
  3. Step 3: Cross multiply
    3,256.80x = 4,880.40 × 2,767.20
  4. Step 4: Simplify right side
    3,256.80x = 13,505,042.88
  5. Step 5: Solve for x
    x = 13,505,042.88/3,256.80
  6. Step 6: Final answer
    x = 4,146.72

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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.