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Finding the Fourth Proportional to 2,205.65, 3,308.82 and 645.45

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Solution

The fourth proportional to 2,205.65, 3,308.82 and 645.45 is: 968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.65 : 3,308.82 = 645.45 : x
  2. Step 2: Convert to fraction form
    2,205.65/3,308.82 = 645.45/x
  3. Step 3: Cross multiply
    2,205.65x = 3,308.82 × 645.45
  4. Step 4: Simplify right side
    2,205.65x = 2,135,677.87
  5. Step 5: Solve for x
    x = 2,135,677.87/2,205.65
  6. Step 6: Final answer
    x = 968.28

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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.