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Finding the Fourth Proportional to 2,856.68, 3,932.90 and 2,441.96

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Solution

The fourth proportional to 2,856.68, 3,932.90 and 2,441.96 is: 3,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.68 : 3,932.90 = 2,441.96 : x
  2. Step 2: Convert to fraction form
    2,856.68/3,932.90 = 2,441.96/x
  3. Step 3: Cross multiply
    2,856.68x = 3,932.90 × 2,441.96
  4. Step 4: Simplify right side
    2,856.68x = 9,603,984.48
  5. Step 5: Solve for x
    x = 9,603,984.48/2,856.68
  6. Step 6: Final answer
    x = 3,361.94

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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.