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Finding the Fourth Proportional to 3,107.46, 4,661.82 and 1,722.78

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Solution

The fourth proportional to 3,107.46, 4,661.82 and 1,722.78 is: 2,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.46 : 4,661.82 = 1,722.78 : x
  2. Step 2: Convert to fraction form
    3,107.46/4,661.82 = 1,722.78/x
  3. Step 3: Cross multiply
    3,107.46x = 4,661.82 × 1,722.78
  4. Step 4: Simplify right side
    3,107.46x = 8,031,290.26
  5. Step 5: Solve for x
    x = 8,031,290.26/3,107.46
  6. Step 6: Final answer
    x = 2,584.52

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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.