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Finding the Fourth Proportional to 3,206.84, 4,812.98 and 1,260.41

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Solution

The fourth proportional to 3,206.84, 4,812.98 and 1,260.41 is: 1,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,812.98 = 1,260.41 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,812.98 = 1,260.41/x
  3. Step 3: Cross multiply
    3,206.84x = 4,812.98 × 1,260.41
  4. Step 4: Simplify right side
    3,206.84x = 6,066,297.75
  5. Step 5: Solve for x
    x = 6,066,297.75/3,206.84
  6. Step 6: Final answer
    x = 1,891.68

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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.