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Finding the Fourth Proportional to 2,511.01, 3,763.91 and 843.90

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Solution

The fourth proportional to 2,511.01, 3,763.91 and 843.90 is: 1,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.01 : 3,763.91 = 843.90 : x
  2. Step 2: Convert to fraction form
    2,511.01/3,763.91 = 843.90/x
  3. Step 3: Cross multiply
    2,511.01x = 3,763.91 × 843.90
  4. Step 4: Simplify right side
    2,511.01x = 3,176,359.43
  5. Step 5: Solve for x
    x = 3,176,359.43/2,511.01
  6. Step 6: Final answer
    x = 1,264.97

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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.