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Finding the Fourth Proportional to 2,826.77, 3,900.98 and 1,567.87

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Solution

The fourth proportional to 2,826.77, 3,900.98 and 1,567.87 is: 2,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.77 : 3,900.98 = 1,567.87 : x
  2. Step 2: Convert to fraction form
    2,826.77/3,900.98 = 1,567.87/x
  3. Step 3: Cross multiply
    2,826.77x = 3,900.98 × 1,567.87
  4. Step 4: Simplify right side
    2,826.77x = 6,116,229.51
  5. Step 5: Solve for x
    x = 6,116,229.51/2,826.77
  6. Step 6: Final answer
    x = 2,163.68

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