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Finding the Fourth Proportional to 3,400.64, 4,692.88 and 1,909.03

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Solution

The fourth proportional to 3,400.64, 4,692.88 and 1,909.03 is: 2,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.64 : 4,692.88 = 1,909.03 : x
  2. Step 2: Convert to fraction form
    3,400.64/4,692.88 = 1,909.03/x
  3. Step 3: Cross multiply
    3,400.64x = 4,692.88 × 1,909.03
  4. Step 4: Simplify right side
    3,400.64x = 8,958,857.76
  5. Step 5: Solve for x
    x = 8,958,857.76/3,400.64
  6. Step 6: Final answer
    x = 2,634.47

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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.