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Finding the Fourth Proportional to 2,843.54, 4,262.85 and 1,155.15

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Solution

The fourth proportional to 2,843.54, 4,262.85 and 1,155.15 is: 1,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.54 : 4,262.85 = 1,155.15 : x
  2. Step 2: Convert to fraction form
    2,843.54/4,262.85 = 1,155.15/x
  3. Step 3: Cross multiply
    2,843.54x = 4,262.85 × 1,155.15
  4. Step 4: Simplify right side
    2,843.54x = 4,924,231.18
  5. Step 5: Solve for x
    x = 4,924,231.18/2,843.54
  6. Step 6: Final answer
    x = 1,731.73

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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.