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Finding the Fourth Proportional to 3,203.64, 4,806.17 and 982.78

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Solution

The fourth proportional to 3,203.64, 4,806.17 and 982.78 is: 1,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.64 : 4,806.17 = 982.78 : x
  2. Step 2: Convert to fraction form
    3,203.64/4,806.17 = 982.78/x
  3. Step 3: Cross multiply
    3,203.64x = 4,806.17 × 982.78
  4. Step 4: Simplify right side
    3,203.64x = 4,723,407.75
  5. Step 5: Solve for x
    x = 4,723,407.75/3,203.64
  6. Step 6: Final answer
    x = 1,474.39

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