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Finding the Fourth Proportional to 2,763.92, 4,146.06 and 1,120.43

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Solution

The fourth proportional to 2,763.92, 4,146.06 and 1,120.43 is: 1,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.92 : 4,146.06 = 1,120.43 : x
  2. Step 2: Convert to fraction form
    2,763.92/4,146.06 = 1,120.43/x
  3. Step 3: Cross multiply
    2,763.92x = 4,146.06 × 1,120.43
  4. Step 4: Simplify right side
    2,763.92x = 4,645,370.01
  5. Step 5: Solve for x
    x = 4,645,370.01/2,763.92
  6. Step 6: Final answer
    x = 1,680.72

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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.