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Finding the Fourth Proportional to 3,204.56, 4,808.20 and 1,258.14

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Solution

The fourth proportional to 3,204.56, 4,808.20 and 1,258.14 is: 1,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 4,808.20 = 1,258.14 : x
  2. Step 2: Convert to fraction form
    3,204.56/4,808.20 = 1,258.14/x
  3. Step 3: Cross multiply
    3,204.56x = 4,808.20 × 1,258.14
  4. Step 4: Simplify right side
    3,204.56x = 6,049,388.75
  5. Step 5: Solve for x
    x = 6,049,388.75/3,204.56
  6. Step 6: Final answer
    x = 1,887.74

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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.