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Finding the Fourth Proportional to 3,167.82, 4,751.74 and 1,218.96

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Solution

The fourth proportional to 3,167.82, 4,751.74 and 1,218.96 is: 1,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.82 : 4,751.74 = 1,218.96 : x
  2. Step 2: Convert to fraction form
    3,167.82/4,751.74 = 1,218.96/x
  3. Step 3: Cross multiply
    3,167.82x = 4,751.74 × 1,218.96
  4. Step 4: Simplify right side
    3,167.82x = 5,792,180.99
  5. Step 5: Solve for x
    x = 5,792,180.99/3,167.82
  6. Step 6: Final answer
    x = 1,828.44

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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.