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Finding the Fourth Proportional to 3,203.43, 4,420.76 and 1,806.18

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Solution

The fourth proportional to 3,203.43, 4,420.76 and 1,806.18 is: 2,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.43 : 4,420.76 = 1,806.18 : x
  2. Step 2: Convert to fraction form
    3,203.43/4,420.76 = 1,806.18/x
  3. Step 3: Cross multiply
    3,203.43x = 4,420.76 × 1,806.18
  4. Step 4: Simplify right side
    3,203.43x = 7,984,679.27
  5. Step 5: Solve for x
    x = 7,984,679.27/3,203.43
  6. Step 6: Final answer
    x = 2,492.54

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