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Finding the Fourth Proportional to 2,308.21, 3,461.82 and 664.45

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Solution

The fourth proportional to 2,308.21, 3,461.82 and 664.45 is: 996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.21 : 3,461.82 = 664.45 : x
  2. Step 2: Convert to fraction form
    2,308.21/3,461.82 = 664.45/x
  3. Step 3: Cross multiply
    2,308.21x = 3,461.82 × 664.45
  4. Step 4: Simplify right side
    2,308.21x = 2,300,206.30
  5. Step 5: Solve for x
    x = 2,300,206.30/2,308.21
  6. Step 6: Final answer
    x = 996.53

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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.