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Finding the Fourth Proportional to 2,701, 4,052.22 and 1,333

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Solution

The fourth proportional to 2,701, 4,052.22 and 1,333 is: 1,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 4,052.22 = 1,333 : x
  2. Step 2: Convert to fraction form
    2,701/4,052.22 = 1,333/x
  3. Step 3: Cross multiply
    2,701x = 4,052.22 × 1,333
  4. Step 4: Simplify right side
    2,701x = 5,401,609.26
  5. Step 5: Solve for x
    x = 5,401,609.26/2,701
  6. Step 6: Final answer
    x = 1,999.86

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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.