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Finding the Fourth Proportional to 3,208.51, 4,812.01 and 1,016.80

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Solution

The fourth proportional to 3,208.51, 4,812.01 and 1,016.80 is: 1,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.51 : 4,812.01 = 1,016.80 : x
  2. Step 2: Convert to fraction form
    3,208.51/4,812.01 = 1,016.80/x
  3. Step 3: Cross multiply
    3,208.51x = 4,812.01 × 1,016.80
  4. Step 4: Simplify right side
    3,208.51x = 4,892,864.26
  5. Step 5: Solve for x
    x = 4,892,864.26/3,208.51
  6. Step 6: Final answer
    x = 1,524.96

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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.