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Finding the Fourth Proportional to 3,212.67, 4,815.06 and 1,827.17

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Solution

The fourth proportional to 3,212.67, 4,815.06 and 1,827.17 is: 2,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.67 : 4,815.06 = 1,827.17 : x
  2. Step 2: Convert to fraction form
    3,212.67/4,815.06 = 1,827.17/x
  3. Step 3: Cross multiply
    3,212.67x = 4,815.06 × 1,827.17
  4. Step 4: Simplify right side
    3,212.67x = 8,797,909.10
  5. Step 5: Solve for x
    x = 8,797,909.10/3,212.67
  6. Step 6: Final answer
    x = 2,738.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.