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Finding the Fourth Proportional to 2,826.88, 3,897.71 and 2,671

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Solution

The fourth proportional to 2,826.88, 3,897.71 and 2,671 is: 3,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.88 : 3,897.71 = 2,671 : x
  2. Step 2: Convert to fraction form
    2,826.88/3,897.71 = 2,671/x
  3. Step 3: Cross multiply
    2,826.88x = 3,897.71 × 2,671
  4. Step 4: Simplify right side
    2,826.88x = 10,410,770.06
  5. Step 5: Solve for x
    x = 10,410,770.06/2,826.88
  6. Step 6: Final answer
    x = 3,682.78

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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.