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Finding the Fourth Proportional to 2,872.64, 4,310.40 and 1,229.60

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Solution

The fourth proportional to 2,872.64, 4,310.40 and 1,229.60 is: 1,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.64 : 4,310.40 = 1,229.60 : x
  2. Step 2: Convert to fraction form
    2,872.64/4,310.40 = 1,229.60/x
  3. Step 3: Cross multiply
    2,872.64x = 4,310.40 × 1,229.60
  4. Step 4: Simplify right side
    2,872.64x = 5,300,067.84
  5. Step 5: Solve for x
    x = 5,300,067.84/2,872.64
  6. Step 6: Final answer
    x = 1,845.02

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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.