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Finding the Fourth Proportional to 2,882.97, 3,976.99 and 1,820.35

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Solution

The fourth proportional to 2,882.97, 3,976.99 and 1,820.35 is: 2,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.97 : 3,976.99 = 1,820.35 : x
  2. Step 2: Convert to fraction form
    2,882.97/3,976.99 = 1,820.35/x
  3. Step 3: Cross multiply
    2,882.97x = 3,976.99 × 1,820.35
  4. Step 4: Simplify right side
    2,882.97x = 7,239,513.75
  5. Step 5: Solve for x
    x = 7,239,513.75/2,882.97
  6. Step 6: Final answer
    x = 2,511.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.