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Finding the Fourth Proportional to 2,763.75, 4,146.23 and 1,120.40

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Solution

The fourth proportional to 2,763.75, 4,146.23 and 1,120.40 is: 1,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.75 : 4,146.23 = 1,120.40 : x
  2. Step 2: Convert to fraction form
    2,763.75/4,146.23 = 1,120.40/x
  3. Step 3: Cross multiply
    2,763.75x = 4,146.23 × 1,120.40
  4. Step 4: Simplify right side
    2,763.75x = 4,645,436.09
  5. Step 5: Solve for x
    x = 4,645,436.09/2,763.75
  6. Step 6: Final answer
    x = 1,680.85

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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.