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Finding the Fourth Proportional to 3,206.75, 4,810.12 and 1,015.65

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Solution

The fourth proportional to 3,206.75, 4,810.12 and 1,015.65 is: 1,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.75 : 4,810.12 = 1,015.65 : x
  2. Step 2: Convert to fraction form
    3,206.75/4,810.12 = 1,015.65/x
  3. Step 3: Cross multiply
    3,206.75x = 4,810.12 × 1,015.65
  4. Step 4: Simplify right side
    3,206.75x = 4,885,398.38
  5. Step 5: Solve for x
    x = 4,885,398.38/3,206.75
  6. Step 6: Final answer
    x = 1,523.47

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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.