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Finding the Fourth Proportional to 3,204.73, 4,806.66 and 1,258.30

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Solution

The fourth proportional to 3,204.73, 4,806.66 and 1,258.30 is: 1,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.73 : 4,806.66 = 1,258.30 : x
  2. Step 2: Convert to fraction form
    3,204.73/4,806.66 = 1,258.30/x
  3. Step 3: Cross multiply
    3,204.73x = 4,806.66 × 1,258.30
  4. Step 4: Simplify right side
    3,204.73x = 6,048,220.28
  5. Step 5: Solve for x
    x = 6,048,220.28/3,204.73
  6. Step 6: Final answer
    x = 1,887.28

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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.