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Finding the Fourth Proportional to 3,206.00, 4,808.94 and 1,014.66

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Solution

The fourth proportional to 3,206.00, 4,808.94 and 1,014.66 is: 1,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.00 : 4,808.94 = 1,014.66 : x
  2. Step 2: Convert to fraction form
    3,206.00/4,808.94 = 1,014.66/x
  3. Step 3: Cross multiply
    3,206.00x = 4,808.94 × 1,014.66
  4. Step 4: Simplify right side
    3,206.00x = 4,879,439.06
  5. Step 5: Solve for x
    x = 4,879,439.06/3,206.00
  6. Step 6: Final answer
    x = 1,521.97

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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.