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Finding the Fourth Proportional to 2,705.97, 3,723.39 and 2,076.24

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Solution

The fourth proportional to 2,705.97, 3,723.39 and 2,076.24 is: 2,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.97 : 3,723.39 = 2,076.24 : x
  2. Step 2: Convert to fraction form
    2,705.97/3,723.39 = 2,076.24/x
  3. Step 3: Cross multiply
    2,705.97x = 3,723.39 × 2,076.24
  4. Step 4: Simplify right side
    2,705.97x = 7,730,651.25
  5. Step 5: Solve for x
    x = 7,730,651.25/2,705.97
  6. Step 6: Final answer
    x = 2,856.89

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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.