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Finding the Fourth Proportional to 2,856.54, 4,286.97 and 1,214.24

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Solution

The fourth proportional to 2,856.54, 4,286.97 and 1,214.24 is: 1,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.54 : 4,286.97 = 1,214.24 : x
  2. Step 2: Convert to fraction form
    2,856.54/4,286.97 = 1,214.24/x
  3. Step 3: Cross multiply
    2,856.54x = 4,286.97 × 1,214.24
  4. Step 4: Simplify right side
    2,856.54x = 5,205,389.02
  5. Step 5: Solve for x
    x = 5,205,389.02/2,856.54
  6. Step 6: Final answer
    x = 1,822.27

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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.