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Finding the Fourth Proportional to 2,206.62, 3,308.85 and 1,232.46

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Solution

The fourth proportional to 2,206.62, 3,308.85 and 1,232.46 is: 1,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.62 : 3,308.85 = 1,232.46 : x
  2. Step 2: Convert to fraction form
    2,206.62/3,308.85 = 1,232.46/x
  3. Step 3: Cross multiply
    2,206.62x = 3,308.85 × 1,232.46
  4. Step 4: Simplify right side
    2,206.62x = 4,078,025.27
  5. Step 5: Solve for x
    x = 4,078,025.27/2,206.62
  6. Step 6: Final answer
    x = 1,848.09

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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.