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Finding the Fourth Proportional to 3,400.64, 4,692.90 and 1,908.47

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Solution

The fourth proportional to 3,400.64, 4,692.90 and 1,908.47 is: 2,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.64 : 4,692.90 = 1,908.47 : x
  2. Step 2: Convert to fraction form
    3,400.64/4,692.90 = 1,908.47/x
  3. Step 3: Cross multiply
    3,400.64x = 4,692.90 × 1,908.47
  4. Step 4: Simplify right side
    3,400.64x = 8,956,258.86
  5. Step 5: Solve for x
    x = 8,956,258.86/3,400.64
  6. Step 6: Final answer
    x = 2,633.70

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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.