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Finding the Fourth Proportional to 2,308.42, 3,461.81 and 664.52

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Solution

The fourth proportional to 2,308.42, 3,461.81 and 664.52 is: 996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.42 : 3,461.81 = 664.52 : x
  2. Step 2: Convert to fraction form
    2,308.42/3,461.81 = 664.52/x
  3. Step 3: Cross multiply
    2,308.42x = 3,461.81 × 664.52
  4. Step 4: Simplify right side
    2,308.42x = 2,300,446.43
  5. Step 5: Solve for x
    x = 2,300,446.43/2,308.42
  6. Step 6: Final answer
    x = 996.55

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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.