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Finding the Fourth Proportional to 2,202.84, 3,304.05 and 742.01

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Solution

The fourth proportional to 2,202.84, 3,304.05 and 742.01 is: 1,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.84 : 3,304.05 = 742.01 : x
  2. Step 2: Convert to fraction form
    2,202.84/3,304.05 = 742.01/x
  3. Step 3: Cross multiply
    2,202.84x = 3,304.05 × 742.01
  4. Step 4: Simplify right side
    2,202.84x = 2,451,638.14
  5. Step 5: Solve for x
    x = 2,451,638.14/2,202.84
  6. Step 6: Final answer
    x = 1,112.94

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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.