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Finding the Fourth Proportional to 2,856.66, 4,286.22 and 1,213.57

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Solution

The fourth proportional to 2,856.66, 4,286.22 and 1,213.57 is: 1,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.66 : 4,286.22 = 1,213.57 : x
  2. Step 2: Convert to fraction form
    2,856.66/4,286.22 = 1,213.57/x
  3. Step 3: Cross multiply
    2,856.66x = 4,286.22 × 1,213.57
  4. Step 4: Simplify right side
    2,856.66x = 5,201,628.01
  5. Step 5: Solve for x
    x = 5,201,628.01/2,856.66
  6. Step 6: Final answer
    x = 1,820.88

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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.