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Finding the Fourth Proportional to 3,199.59, 4,794.71 and 1,418.49

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Solution

The fourth proportional to 3,199.59, 4,794.71 and 1,418.49 is: 2,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.59 : 4,794.71 = 1,418.49 : x
  2. Step 2: Convert to fraction form
    3,199.59/4,794.71 = 1,418.49/x
  3. Step 3: Cross multiply
    3,199.59x = 4,794.71 × 1,418.49
  4. Step 4: Simplify right side
    3,199.59x = 6,801,241.10
  5. Step 5: Solve for x
    x = 6,801,241.10/3,199.59
  6. Step 6: Final answer
    x = 2,125.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.