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Finding the Fourth Proportional to 2,872.58, 4,305.71 and 1,230.09

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Solution

The fourth proportional to 2,872.58, 4,305.71 and 1,230.09 is: 1,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.58 : 4,305.71 = 1,230.09 : x
  2. Step 2: Convert to fraction form
    2,872.58/4,305.71 = 1,230.09/x
  3. Step 3: Cross multiply
    2,872.58x = 4,305.71 × 1,230.09
  4. Step 4: Simplify right side
    2,872.58x = 5,296,404.66
  5. Step 5: Solve for x
    x = 5,296,404.66/2,872.58
  6. Step 6: Final answer
    x = 1,843.78

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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.