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Finding the Fourth Proportional to 3,202.96, 4,420.20 and 1,806

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Solution

The fourth proportional to 3,202.96, 4,420.20 and 1,806 is: 2,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.96 : 4,420.20 = 1,806 : x
  2. Step 2: Convert to fraction form
    3,202.96/4,420.20 = 1,806/x
  3. Step 3: Cross multiply
    3,202.96x = 4,420.20 × 1,806
  4. Step 4: Simplify right side
    3,202.96x = 7,982,881.20
  5. Step 5: Solve for x
    x = 7,982,881.20/3,202.96
  6. Step 6: Final answer
    x = 2,492.34

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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.