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Finding the Fourth Proportional to 2,142.70, 3,220.45 and 1,861.10

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Solution

The fourth proportional to 2,142.70, 3,220.45 and 1,861.10 is: 2,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.70 : 3,220.45 = 1,861.10 : x
  2. Step 2: Convert to fraction form
    2,142.70/3,220.45 = 1,861.10/x
  3. Step 3: Cross multiply
    2,142.70x = 3,220.45 × 1,861.10
  4. Step 4: Simplify right side
    2,142.70x = 5,993,579.50
  5. Step 5: Solve for x
    x = 5,993,579.50/2,142.70
  6. Step 6: Final answer
    x = 2,797.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.