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Finding the Fourth Proportional to 2,893.95, 3,993.65 and 1,567.66

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Solution

The fourth proportional to 2,893.95, 3,993.65 and 1,567.66 is: 2,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.95 : 3,993.65 = 1,567.66 : x
  2. Step 2: Convert to fraction form
    2,893.95/3,993.65 = 1,567.66/x
  3. Step 3: Cross multiply
    2,893.95x = 3,993.65 × 1,567.66
  4. Step 4: Simplify right side
    2,893.95x = 6,260,679.29
  5. Step 5: Solve for x
    x = 6,260,679.29/2,893.95
  6. Step 6: Final answer
    x = 2,163.37

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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.