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Finding the Fourth Proportional to 3,400.76, 4,692.86 and 1,908.54

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Solution

The fourth proportional to 3,400.76, 4,692.86 and 1,908.54 is: 2,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.76 : 4,692.86 = 1,908.54 : x
  2. Step 2: Convert to fraction form
    3,400.76/4,692.86 = 1,908.54/x
  3. Step 3: Cross multiply
    3,400.76x = 4,692.86 × 1,908.54
  4. Step 4: Simplify right side
    3,400.76x = 8,956,511.02
  5. Step 5: Solve for x
    x = 8,956,511.02/3,400.76
  6. Step 6: Final answer
    x = 2,633.68

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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.