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Finding the Fourth Proportional to 3,167.67, 4,751.44 and 1,220.29

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Solution

The fourth proportional to 3,167.67, 4,751.44 and 1,220.29 is: 1,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.67 : 4,751.44 = 1,220.29 : x
  2. Step 2: Convert to fraction form
    3,167.67/4,751.44 = 1,220.29/x
  3. Step 3: Cross multiply
    3,167.67x = 4,751.44 × 1,220.29
  4. Step 4: Simplify right side
    3,167.67x = 5,798,134.72
  5. Step 5: Solve for x
    x = 5,798,134.72/3,167.67
  6. Step 6: Final answer
    x = 1,830.41

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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.