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Finding the Fourth Proportional to 2,380.41, 3,564.13 and 1,987.44

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Solution

The fourth proportional to 2,380.41, 3,564.13 and 1,987.44 is: 2,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.41 : 3,564.13 = 1,987.44 : x
  2. Step 2: Convert to fraction form
    2,380.41/3,564.13 = 1,987.44/x
  3. Step 3: Cross multiply
    2,380.41x = 3,564.13 × 1,987.44
  4. Step 4: Simplify right side
    2,380.41x = 7,083,474.33
  5. Step 5: Solve for x
    x = 7,083,474.33/2,380.41
  6. Step 6: Final answer
    x = 2,975.73

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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.