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Finding the Fourth Proportional to 3,206.97, 4,809.75 and 1,015.17

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Solution

The fourth proportional to 3,206.97, 4,809.75 and 1,015.17 is: 1,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.97 : 4,809.75 = 1,015.17 : x
  2. Step 2: Convert to fraction form
    3,206.97/4,809.75 = 1,015.17/x
  3. Step 3: Cross multiply
    3,206.97x = 4,809.75 × 1,015.17
  4. Step 4: Simplify right side
    3,206.97x = 4,882,713.91
  5. Step 5: Solve for x
    x = 4,882,713.91/3,206.97
  6. Step 6: Final answer
    x = 1,522.53

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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.