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Finding the Fourth Proportional to 3,207.78, 4,812.39 and 1,016.64

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Solution

The fourth proportional to 3,207.78, 4,812.39 and 1,016.64 is: 1,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.78 : 4,812.39 = 1,016.64 : x
  2. Step 2: Convert to fraction form
    3,207.78/4,812.39 = 1,016.64/x
  3. Step 3: Cross multiply
    3,207.78x = 4,812.39 × 1,016.64
  4. Step 4: Simplify right side
    3,207.78x = 4,892,468.17
  5. Step 5: Solve for x
    x = 4,892,468.17/3,207.78
  6. Step 6: Final answer
    x = 1,525.19

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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.