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Finding the Fourth Proportional to 3,110.92, 4,668 and 1,466.62

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Solution

The fourth proportional to 3,110.92, 4,668 and 1,466.62 is: 2,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.92 : 4,668 = 1,466.62 : x
  2. Step 2: Convert to fraction form
    3,110.92/4,668 = 1,466.62/x
  3. Step 3: Cross multiply
    3,110.92x = 4,668 × 1,466.62
  4. Step 4: Simplify right side
    3,110.92x = 6,846,182.16
  5. Step 5: Solve for x
    x = 6,846,182.16/3,110.92
  6. Step 6: Final answer
    x = 2,200.69

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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.