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Finding the Fourth Proportional to 2,206.62, 3,294.14 and 2,129.67

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Solution

The fourth proportional to 2,206.62, 3,294.14 and 2,129.67 is: 3,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.62 : 3,294.14 = 2,129.67 : x
  2. Step 2: Convert to fraction form
    2,206.62/3,294.14 = 2,129.67/x
  3. Step 3: Cross multiply
    2,206.62x = 3,294.14 × 2,129.67
  4. Step 4: Simplify right side
    2,206.62x = 7,015,420.49
  5. Step 5: Solve for x
    x = 7,015,420.49/2,206.62
  6. Step 6: Final answer
    x = 3,179.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.