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Finding the Fourth Proportional to 3,400.42, 4,692.46 and 1,908.60

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Solution

The fourth proportional to 3,400.42, 4,692.46 and 1,908.60 is: 2,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.42 : 4,692.46 = 1,908.60 : x
  2. Step 2: Convert to fraction form
    3,400.42/4,692.46 = 1,908.60/x
  3. Step 3: Cross multiply
    3,400.42x = 4,692.46 × 1,908.60
  4. Step 4: Simplify right side
    3,400.42x = 8,956,029.16
  5. Step 5: Solve for x
    x = 8,956,029.16/3,400.42
  6. Step 6: Final answer
    x = 2,633.80

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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.