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Finding the Fourth Proportional to 3,111.44, 4,668 and 1,163.84

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Solution

The fourth proportional to 3,111.44, 4,668 and 1,163.84 is: 1,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.44 : 4,668 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    3,111.44/4,668 = 1,163.84/x
  3. Step 3: Cross multiply
    3,111.44x = 4,668 × 1,163.84
  4. Step 4: Simplify right side
    3,111.44x = 5,432,805.12
  5. Step 5: Solve for x
    x = 5,432,805.12/3,111.44
  6. Step 6: Final answer
    x = 1,746.07

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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.