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Finding the Fourth Proportional to 3,175.62, 4,380.57 and 2,242.50

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Solution

The fourth proportional to 3,175.62, 4,380.57 and 2,242.50 is: 3,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.62 : 4,380.57 = 2,242.50 : x
  2. Step 2: Convert to fraction form
    3,175.62/4,380.57 = 2,242.50/x
  3. Step 3: Cross multiply
    3,175.62x = 4,380.57 × 2,242.50
  4. Step 4: Simplify right side
    3,175.62x = 9,823,428.23
  5. Step 5: Solve for x
    x = 9,823,428.23/3,175.62
  6. Step 6: Final answer
    x = 3,093.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.