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Finding the Fourth Proportional to 2,205.18, 3,308.31 and 645.14

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Solution

The fourth proportional to 2,205.18, 3,308.31 and 645.14 is: 967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.18 : 3,308.31 = 645.14 : x
  2. Step 2: Convert to fraction form
    2,205.18/3,308.31 = 645.14/x
  3. Step 3: Cross multiply
    2,205.18x = 3,308.31 × 645.14
  4. Step 4: Simplify right side
    2,205.18x = 2,134,306.57
  5. Step 5: Solve for x
    x = 2,134,306.57/2,205.18
  6. Step 6: Final answer
    x = 967.86

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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.