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Finding the Fourth Proportional to 2,380.75, 3,569.43 and 736.38

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Solution

The fourth proportional to 2,380.75, 3,569.43 and 736.38 is: 1,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.75 : 3,569.43 = 736.38 : x
  2. Step 2: Convert to fraction form
    2,380.75/3,569.43 = 736.38/x
  3. Step 3: Cross multiply
    2,380.75x = 3,569.43 × 736.38
  4. Step 4: Simplify right side
    2,380.75x = 2,628,456.86
  5. Step 5: Solve for x
    x = 2,628,456.86/2,380.75
  6. Step 6: Final answer
    x = 1,104.05

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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.