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Finding the Fourth Proportional to 2,206.23, 3,308.91 and 645.87

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Solution

The fourth proportional to 2,206.23, 3,308.91 and 645.87 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.23 : 3,308.91 = 645.87 : x
  2. Step 2: Convert to fraction form
    2,206.23/3,308.91 = 645.87/x
  3. Step 3: Cross multiply
    2,206.23x = 3,308.91 × 645.87
  4. Step 4: Simplify right side
    2,206.23x = 2,137,125.70
  5. Step 5: Solve for x
    x = 2,137,125.70/2,206.23
  6. Step 6: Final answer
    x = 968.68

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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.