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Finding the Fourth Proportional to 3,160.42, 4,744.91 and 1,845.52

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Solution

The fourth proportional to 3,160.42, 4,744.91 and 1,845.52 is: 2,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.42 : 4,744.91 = 1,845.52 : x
  2. Step 2: Convert to fraction form
    3,160.42/4,744.91 = 1,845.52/x
  3. Step 3: Cross multiply
    3,160.42x = 4,744.91 × 1,845.52
  4. Step 4: Simplify right side
    3,160.42x = 8,756,819.05
  5. Step 5: Solve for x
    x = 8,756,819.05/3,160.42
  6. Step 6: Final answer
    x = 2,770.78

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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.