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Finding the Fourth Proportional to 2,893.54, 3,993.11 and 1,567.27

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Solution

The fourth proportional to 2,893.54, 3,993.11 and 1,567.27 is: 2,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.54 : 3,993.11 = 1,567.27 : x
  2. Step 2: Convert to fraction form
    2,893.54/3,993.11 = 1,567.27/x
  3. Step 3: Cross multiply
    2,893.54x = 3,993.11 × 1,567.27
  4. Step 4: Simplify right side
    2,893.54x = 6,258,281.51
  5. Step 5: Solve for x
    x = 6,258,281.51/2,893.54
  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.