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Finding the Fourth Proportional to 2,072.58, 3,108.86 and 512.61

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Solution

The fourth proportional to 2,072.58, 3,108.86 and 512.61 is: 768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.58 : 3,108.86 = 512.61 : x
  2. Step 2: Convert to fraction form
    2,072.58/3,108.86 = 512.61/x
  3. Step 3: Cross multiply
    2,072.58x = 3,108.86 × 512.61
  4. Step 4: Simplify right side
    2,072.58x = 1,593,623.31
  5. Step 5: Solve for x
    x = 1,593,623.31/2,072.58
  6. Step 6: Final answer
    x = 768.91

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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.