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Finding the Fourth Proportional to 2,893.56, 3,993.09 and 1,567.29

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Solution

The fourth proportional to 2,893.56, 3,993.09 and 1,567.29 is: 2,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.56 : 3,993.09 = 1,567.29 : x
  2. Step 2: Convert to fraction form
    2,893.56/3,993.09 = 1,567.29/x
  3. Step 3: Cross multiply
    2,893.56x = 3,993.09 × 1,567.29
  4. Step 4: Simplify right side
    2,893.56x = 6,258,330.03
  5. Step 5: Solve for x
    x = 6,258,330.03/2,893.56
  6. Step 6: Final answer
    x = 2,162.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.