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Finding the Fourth Proportional to 3,181.70, 4,772.55 and 2,142.20

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Solution

The fourth proportional to 3,181.70, 4,772.55 and 2,142.20 is: 3,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.70 : 4,772.55 = 2,142.20 : x
  2. Step 2: Convert to fraction form
    3,181.70/4,772.55 = 2,142.20/x
  3. Step 3: Cross multiply
    3,181.70x = 4,772.55 × 2,142.20
  4. Step 4: Simplify right side
    3,181.70x = 10,223,756.61
  5. Step 5: Solve for x
    x = 10,223,756.61/3,181.70
  6. Step 6: Final answer
    x = 3,213.30

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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.