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Finding the Fourth Proportional to 3,243.78, 4,865.94 and 1,052.46

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Solution

The fourth proportional to 3,243.78, 4,865.94 and 1,052.46 is: 1,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.78 : 4,865.94 = 1,052.46 : x
  2. Step 2: Convert to fraction form
    3,243.78/4,865.94 = 1,052.46/x
  3. Step 3: Cross multiply
    3,243.78x = 4,865.94 × 1,052.46
  4. Step 4: Simplify right side
    3,243.78x = 5,121,207.21
  5. Step 5: Solve for x
    x = 5,121,207.21/3,243.78
  6. Step 6: Final answer
    x = 1,578.78

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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.