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Finding the Fourth Proportional to 3,212.78, 4,817.46 and 1,652.12

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Solution

The fourth proportional to 3,212.78, 4,817.46 and 1,652.12 is: 2,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.78 : 4,817.46 = 1,652.12 : x
  2. Step 2: Convert to fraction form
    3,212.78/4,817.46 = 1,652.12/x
  3. Step 3: Cross multiply
    3,212.78x = 4,817.46 × 1,652.12
  4. Step 4: Simplify right side
    3,212.78x = 7,959,022.02
  5. Step 5: Solve for x
    x = 7,959,022.02/3,212.78
  6. Step 6: Final answer
    x = 2,477.30

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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.