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Finding the Fourth Proportional to 2,826.36, 3,900.62 and 1,567.54

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Solution

The fourth proportional to 2,826.36, 3,900.62 and 1,567.54 is: 2,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.36 : 3,900.62 = 1,567.54 : x
  2. Step 2: Convert to fraction form
    2,826.36/3,900.62 = 1,567.54/x
  3. Step 3: Cross multiply
    2,826.36x = 3,900.62 × 1,567.54
  4. Step 4: Simplify right side
    2,826.36x = 6,114,377.87
  5. Step 5: Solve for x
    x = 6,114,377.87/2,826.36
  6. Step 6: Final answer
    x = 2,163.34

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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.