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Finding the Fourth Proportional to 2,813.82, 4,222.74 and 1,353.78

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Solution

The fourth proportional to 2,813.82, 4,222.74 and 1,353.78 is: 2,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.82 : 4,222.74 = 1,353.78 : x
  2. Step 2: Convert to fraction form
    2,813.82/4,222.74 = 1,353.78/x
  3. Step 3: Cross multiply
    2,813.82x = 4,222.74 × 1,353.78
  4. Step 4: Simplify right side
    2,813.82x = 5,716,660.96
  5. Step 5: Solve for x
    x = 5,716,660.96/2,813.82
  6. Step 6: Final answer
    x = 2,031.64

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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.