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Finding the Fourth Proportional to 2,387.44, 3,578.13 and 2,094.34

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Solution

The fourth proportional to 2,387.44, 3,578.13 and 2,094.34 is: 3,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.44 : 3,578.13 = 2,094.34 : x
  2. Step 2: Convert to fraction form
    2,387.44/3,578.13 = 2,094.34/x
  3. Step 3: Cross multiply
    2,387.44x = 3,578.13 × 2,094.34
  4. Step 4: Simplify right side
    2,387.44x = 7,493,820.78
  5. Step 5: Solve for x
    x = 7,493,820.78/2,387.44
  6. Step 6: Final answer
    x = 3,138.85

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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.