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Finding the Fourth Proportional to 3,112, 4,666.36 and 920.44

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Solution

The fourth proportional to 3,112, 4,666.36 and 920.44 is: 1,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 4,666.36 = 920.44 : x
  2. Step 2: Convert to fraction form
    3,112/4,666.36 = 920.44/x
  3. Step 3: Cross multiply
    3,112x = 4,666.36 × 920.44
  4. Step 4: Simplify right side
    3,112x = 4,295,104.40
  5. Step 5: Solve for x
    x = 4,295,104.40/3,112
  6. Step 6: Final answer
    x = 1,380.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.