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Finding the Fourth Proportional to 3,206.79, 4,811.00 and 1,258.34

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Solution

The fourth proportional to 3,206.79, 4,811.00 and 1,258.34 is: 1,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.79 : 4,811.00 = 1,258.34 : x
  2. Step 2: Convert to fraction form
    3,206.79/4,811.00 = 1,258.34/x
  3. Step 3: Cross multiply
    3,206.79x = 4,811.00 × 1,258.34
  4. Step 4: Simplify right side
    3,206.79x = 6,053,843.39
  5. Step 5: Solve for x
    x = 6,053,843.39/3,206.79
  6. Step 6: Final answer
    x = 1,887.82

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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.