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Finding the Fourth Proportional to 2,826.84, 3,901.23 and 1,567.95

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Solution

The fourth proportional to 2,826.84, 3,901.23 and 1,567.95 is: 2,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.84 : 3,901.23 = 1,567.95 : x
  2. Step 2: Convert to fraction form
    2,826.84/3,901.23 = 1,567.95/x
  3. Step 3: Cross multiply
    2,826.84x = 3,901.23 × 1,567.95
  4. Step 4: Simplify right side
    2,826.84x = 6,116,933.58
  5. Step 5: Solve for x
    x = 6,116,933.58/2,826.84
  6. Step 6: Final answer
    x = 2,163.88

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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.