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Finding the Fourth Proportional to 3,212.57, 4,819.17 and 1,264.32

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Solution

The fourth proportional to 3,212.57, 4,819.17 and 1,264.32 is: 1,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.57 : 4,819.17 = 1,264.32 : x
  2. Step 2: Convert to fraction form
    3,212.57/4,819.17 = 1,264.32/x
  3. Step 3: Cross multiply
    3,212.57x = 4,819.17 × 1,264.32
  4. Step 4: Simplify right side
    3,212.57x = 6,092,973.01
  5. Step 5: Solve for x
    x = 6,092,973.01/3,212.57
  6. Step 6: Final answer
    x = 1,896.61

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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.