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Finding the Fourth Proportional to 2,367.68, 3,550.33 and 1,380.85

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Solution

The fourth proportional to 2,367.68, 3,550.33 and 1,380.85 is: 2,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.68 : 3,550.33 = 1,380.85 : x
  2. Step 2: Convert to fraction form
    2,367.68/3,550.33 = 1,380.85/x
  3. Step 3: Cross multiply
    2,367.68x = 3,550.33 × 1,380.85
  4. Step 4: Simplify right side
    2,367.68x = 4,902,466.03
  5. Step 5: Solve for x
    x = 4,902,466.03/2,367.68
  6. Step 6: Final answer
    x = 2,070.58

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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.