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Finding the Fourth Proportional to 4,206.50, 6,311.06 and 1,742.48

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Solution

The fourth proportional to 4,206.50, 6,311.06 and 1,742.48 is: 2,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.50 : 6,311.06 = 1,742.48 : x
  2. Step 2: Convert to fraction form
    4,206.50/6,311.06 = 1,742.48/x
  3. Step 3: Cross multiply
    4,206.50x = 6,311.06 × 1,742.48
  4. Step 4: Simplify right side
    4,206.50x = 10,996,855.56
  5. Step 5: Solve for x
    x = 10,996,855.56/4,206.50
  6. Step 6: Final answer
    x = 2,614.26

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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.